Analyticity of solutions to fully nonlinear parabolic evolution equations on symmetric spaces

Authors: Gieri Simonett, Joachim Escher

Source: Nonlinear Evolution Equations and Related Topics ISBN: 9783764371074

Subject Terms: evolution equation, Equations in function spaces, evolution equations, 0101 mathematics, 01 natural sciences, Geometric evolution equations (mean curvature flow, Ricci flow, etc.)

File Description: application/xml

Access URL: https://zbmath.org/2101651
https://doi.org/10.1007/s00028-003-0093-z
https://link.springer.com/article/10.1007/s00028-003-0093-z
https://rd.springer.com/chapter/10.1007/978-3-0348-7924-8_29
https://link.springer.com/content/pdf/10.1007/s00028-003-0093-z.pdf

Regularization for optimal control problems associated to nonlinear evolution equations

Authors: Meinlschmidt, Hannes, Meyer, Christian, Rehberg, Joachim

Subject Terms: article, ddc:510, 49K20, 49J20, 47J20, 47J35, 46E40, Optimal control -- regularization -- nonlinear evolution equations -- compactness -- function spaces

Relation: https://doi.org/10.20347/WIAS.PREPRINT.2576

Availability: https://doi.org/10.20347/WIAS.PREPRINT.2576
https://archive.wias-berlin.de/receive/wias_mods_00002612
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http://www.wias-berlin.de/publications/wias-publ/run.jsp?template=abstract&type=Preprint&year=2019&number=2576

Geometry of 3-Dimensional Gradient Ricci Solitons with Positive Curvature: Geometry of 3-dimensional gradient Ricci solitons with positive curvature

Authors: Sun-Chin Chu

Source: Communications in Analysis and Geometry. 13:129-150

Subject Terms: Mathematics - Differential Geometry, Differential Geometry (math.DG), Ricci flow, FOS: Mathematics, 53C, Ricci potential, Equations in function spaces, evolution equations, 0101 mathematics, Hamilton's cigar soliton, level sets, 01 natural sciences, Geometric evolution equations (mean curvature flow, Ricci flow, etc.), Ricci solitons

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Access URL: https://www.intlpress.com/site/pub/files/_fulltext/journals/cag/2005/0013/0001/CAG-2005-0013-0001-a004.pdf
http://arxiv.org/abs/math/0303135
https://www.intlpress.com/site/pub/files/_fulltext/journals/cag/2005/0013/0001/CAG-2005-0013-0001-a004.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=2181782
http://math.cts.nthu.edu.tw/Mathematics/preprints/prep2004-10-004.pdf
https://www.intlpress.com/site/pub/pages/journals/items/cag/content/vols/0013/0001/a004/index.php

Existence of C 1 critical subsolutions of the Hamilton-Jacobi equation: Existence of \(C^1\) critical subsolutions of the Hamilton-Jacobi equation

Authors: Antonio Siconolfi, Albert Fathi

Source: Inventiones Mathematicae. 155:363-388

Subject Terms: Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games, Lagrangian systems, Nonlinear first-order PDEs, Holonomic systems related to the dynamics of a system of particles, Action-minimizing orbits and measures, Equations in function spaces, evolution equations, 0101 mathematics, Hamilton-Jacobi equations, 01 natural sciences

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Access URL: https://www.ceremade.dauphine.fr/~pbernard/publi/C11/FS.pdf
https://link.springer.com/article/10.1007%2Fs00222-003-0323-6
http://ui.adsabs.harvard.edu/abs/2004InMat.155..363F/abstract

Local solvability of a constrainedgradient system of total variation: Local solvability of a constrained gradient system of total variation

Authors: GIGA, YOSHIKAZU, KASHIMA, YOHEI, YAMAZAKI, NORIAKI

Source: Abstract and Applied Analysis, Vol 2004, Iss 8, Pp 651-682 (2004)
Abstr. Appl. Anal. 2004, no. 8 (2004), 651-682

Subject Terms: \(p\)-harmonic map flow, 35K90, 58E20, subdifferential, Equations in function spaces, evolution equations, Degenerate parabolic equations, PDEs with multivalued right-hand sides, 01 natural sciences, Absolutely continuous real functions of several variables, functions of bounded variation, gradient flow, 35R70, total variation flow, QA1-939, Harmonic maps, etc, 0101 mathematics, 26A45, Mathematics

File Description: application/xml; application/pdf

Access URL: http://downloads.hindawi.com/journals/aaa/2004/434316.pdf
https://zbmath.org/2163681
https://doi.org/10.1155/s1085337504311048
https://doaj.org/article/36dd4d3990cb40d2bc9b74d7430023aa
http://downloads.hindawi.com/journals/aaa/2004/434316.pdf
https://downloads.hindawi.com/journals/aaa/2004/434316.pdf
https://ui.adsabs.harvard.edu/abs/2004AbApA2004..651G/abstract
https://projecteuclid.org/journals/abstract-and-applied-analysis/volume-2004/issue-8/Local-solvability-of-a-constrained-gradient-system-of-total-variation/10.1155/S1085337504311048.full
https://projecteuclid.org/download/pdfview_1/euclid.aaa/1095684286
https://www.hindawi.com/journals/aaa/2004/434316/
http://projecteuclid.org/euclid.aaa/1095684286

Eventual compactness for semiflows generated by nonlinear age-structured models

Authors: Horst R. Thieme, Pierre Magal

Source: Communications on Pure & Applied Analysis. 3:695-727

Subject Terms: age-structured model, integrated solution, attractor, Population dynamics (general), Hille-Yosida operator, Applications of operator theory in chemistry and life sciences, Nonlinear evolution equations, Nonlinear differential equations in abstract spaces, Semigroups of nonlinear operators, Equations in function spaces, evolution equations, 0101 mathematics, asymptotically smooth semiflow, 01 natural sciences

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Access URL: https://zbmath.org/2143213
https://doi.org/10.3934/cpaa.2004.3.695
http://www.math.u-bordeaux.fr/~pmagal100p/papers/MT-CPAA05.pdf
https://www.math.u-bordeaux.fr/~pmagal100p/papers/MT-CPAA05.pdf
https://asu.pure.elsevier.com/en/publications/eventual-compactness-for-semiflows-generated-by-nonlinear-age-str
https://www.aimsciences.org/article/doi/10.3934/cpaa.2004.3.695
http://www.math.u-bordeaux1.fr/~pmagal100p/papers/MT-CPAA05.pdf

Perturbations of curvatures flow in a hyperbolic space

Authors: H. N. Abd-Ellah, Nassar H. Abdel-All

Source: Applied Mathematics and Computation. 143:349-360

Subject Terms: variation and mean curvature flow, 0103 physical sciences, hyperbolic manifold, Equations in function spaces, evolution equations, 0101 mathematics, General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations, moving frames, 01 natural sciences, Geometric evolution equations (mean curvature flow, Ricci flow, etc.)

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Access URL: https://www.sciencedirect.com/science/article/pii/S0096300302003673
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http://www.sciencedirect.com/science/article/pii/S0096300302003673

The Phase Space of the Cauchy–Dirichlet Problem for a Nonclassical Equation: The phase space of the Cauchy-Dirichlet problem for a nonclassical equation

Authors: Georgy A. Sviridyuk, A. V. Ankudinov

Source: Differential Equations. 39:1639-1644

Subject Terms: Sobolev type equation, degenerate analytic operator groups, Oskolkov system, phase space method, Nonlinear evolution equations, Equations in function spaces, evolution equations, 0101 mathematics, abstract Cauchy problem, 01 natural sciences, Initial value problems for nonlinear higher-order PDEs, Benjamin-Bona-Mahony

File Description: application/xml

Access URL: https://zbmath.org/2170196
https://doi.org/10.1023/b:dieq.0000019357.68736.15
https://link.springer.com/article/10.1023/B%3ADIEQ.0000019357.68736.15
https://link.springer.com/10.1023/B:DIEQ.0000019357.68736.15

Global existence and convergence for a higher order flow in conformal geometry

Authors: Simon Brendle

Source: Annals of Mathematics. 158:323-343

Subject Terms: Mathematics - Differential Geometry, Differential Geometry (math.DG), evolution equation, Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.), FOS: Mathematics, higher order flow, curvature quantity, Equations in function spaces, evolution equations, 0101 mathematics, conformal geometry, 01 natural sciences, Global Riemannian geometry, including pinching, Geometric evolution equations (mean curvature flow, Ricci flow, etc.)

File Description: application/xml

Access URL: http://annals.math.princeton.edu/wp-content/uploads/annals-v158-n1-p06.pdf
http://arxiv.org/abs/math/0404415
https://zbmath.org/1997278
https://doi.org/10.4007/annals.2003.158.323
https://www.jstor.org/stable/3597159
https://core.ac.uk/display/21920604
https://dialnet.unirioja.es/servlet/articulo?codigo=713815
https://annals.math.princeton.edu/2003/158-1/p06
http://annals.math.princeton.edu/wp-content/uploads/annals-v158-n1-p06.pdf

On the well-posedness of the wave map problem in high dimensions

Authors: Nahmod, Andrea, Stefanov, Atanas, Uhlenbeck, Karen

Source: Communications in Analysis and Geometry. 11:49-83

Subject Terms: Mathematics - Analysis of PDEs, Hyperbolic equations on manifolds, FOS: Mathematics, Equations in function spaces, evolution equations, Boundary value problems on manifolds, 0101 mathematics, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs, Critical exponents in context of PDEs, 01 natural sciences, Mathematics, Second-order nonlinear hyperbolic equations, Analysis of PDEs (math.AP)

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Access URL: http://www.intlpress.com/site/pub/files/_fulltext/journals/cag/2003/0011/0001/CAG-2003-0011-0001-a004.pdf
http://arxiv.org/abs/math/0109212
https://zbmath.org/2198985
https://doi.org/10.4310/cag.2003.v11.n1.a4
https://scholarworks.umass.edu/math_faculty_pubs/742/
https://www.intlpress.com/site/pub/files/_fulltext/journals/cag/2003/0011/0001/CAG-2003-0011-0001-a004.pdf
https://www.arxiv-vanity.com/papers/math/0109212/
https://www.intlpress.com/site/pub/pages/journals/items/cag/content/vols/0011/0001/a004/
https://works.bepress.com/andrea_nahmod/11/
https://scholarworks.umass.edu/cgi/viewcontent.cgi?article=1741&context=math_faculty_pubs

On Differential Systems Describing Surfaces of Constant Curvature: On differential systems describing surfaces of constant curvature

Authors: Keti Tenenblat, Qing Ding

Source: Journal of Differential Equations. 184:185-214

Subject Terms: differential systems, Partial differential equations of mathematical physics and other areas of application, Equations in function spaces, evolution equations, Landau-Lifschitz equation, 01 natural sciences, spherical surfaces, pseudospherical surfaces, evolution systems, 0103 physical sciences, Schrödinger flow, 0101 mathematics, nonlinear Schrödinger equation, Analysis

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Access URL: https://zbmath.org/1815495
https://doi.org/10.1006/jdeq.2001.4141
http://ui.adsabs.harvard.edu/abs/2002JDE...184..185D/abstract
https://www.sciencedirect.com/science/article/pii/S0022039601941415#!
https://core.ac.uk/display/81972740
https://www.sciencedirect.com/science/article/abs/pii/S0022039601941415
https://www.sciencedirect.com/science/article/pii/S0022039601941415

Stone--Čech compactification with applications to evolution equations on Banach spaces: Stone-Čech compactification with applications to evolution equations on Banach spaces

Authors: Ahmed, N. U.

Source: Publicationes Mathematicae Debrecen. 59:289-301

Subject Terms: evolution equations, Stone-Čech compactification, 0211 other engineering and technologies, Existence of generalized solutions of PDE, measure solutions, 02 engineering and technology, Nonlinear differential equations in abstract spaces, Equations in function spaces, 0101 mathematics, finitely additive measures, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/1759161

Functional equations in real-analytic functions

Authors: V. Tkachenko, G. Belitskii

Source: Studia Mathematica. 143:153-174

Subject Terms: Functional equations for real functions, analytic functions, functional equations in a single variable, multi-dimensional examples, fixed points, solvability conditions, Equations in function spaces, evolution equations, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://www.impan.pl/shop/publication/transaction/download/product/111819?download.pdf
https://zbmath.org/1548952
https://doi.org/10.4064/sm-143-2-153-174
https://www.impan.pl/pl/wydawnictwa/czasopisma-i-serie-wydawnicze/studia-mathematica/all/143/2/111819/functional-equations-in-real-analytic-functions
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.bwnjournal-article-smv143i2p153bwm

Global Asymptotic Stability of Traveling Waves in Delayed Reaction-Diffusion Equations: Global asymptotic stability of traveling waves in delayed reaction-diffusion equations

Authors: Xiao-Qiang Zhao, Hal L. Smith

Source: SIAM Journal on Mathematical Analysis. 31:514-534

Subject Terms: delayed reaction-diffusion equations, traveling waves, Asymptotic behavior of solutions to PDEs, super- and subsolutions, Partial functional-differential equations, comparison principle, Equations in function spaces, evolution equations, 0101 mathematics, 01 natural sciences, Functional-differential equations in abstract spaces

File Description: application/xml

Access URL: https://math.la.asu.edu/~halsmith/wave.pdf

Commutator Algebra and Abstract Smoothing Effect: Commutator algebra and abstract smoothing effect

Authors: Shin-ichi Doi

Source: Journal of Functional Analysis. 168:428-469

Subject Terms: dispersive equation, Schrödinger operator, Schrödinger equation, One-parameter semigroups and linear evolution equations, Riemannian metric, commutator algebra, Schrödinger equation, Mourre condition, Equations in function spaces, evolution equations, 0101 mathematics, 01 natural sciences, Analysis, smoothing effect

File Description: application/xml

Access URL: https://zbmath.org/1389444
https://doi.org/10.1006/jfan.1999.3466
https://core.ac.uk/display/82385240
https://www.sciencedirect.com/science/article/pii/S0022123699934663

Complex Maslov germs in abstract spaces

Authors: O. Yu. Shvedov

Source: Sbornik: Mathematics. 190:1523-1557

Subject Terms: 0103 physical sciences, Equations in function spaces, evolution equations, Nonlinear evolution equations, 01 natural sciences, Asymptotic expansions of solutions to PDEs, geometric interpretation of new asymptotic solutions

File Description: application/xml

Access URL: https://ui.adsabs.harvard.edu/abs/1999SbMat.190.1523S/abstract
https://iopscience.iop.org/article/10.1070/SM1999v190n10ABEH000434/pdf
http://iopscience.iop.org/article/10.1070/SM1999v190n10ABEH000434/pdf

On a system of partial differential equations on unbounded domains

Authors: Osmundo Alves de Lima, Marivaldo Pereira Matos

Source: Nonlinear Analysis: Theory, Methods & Applications. 35:531-540

Subject Terms: truncation, flexure, system of abstract second-order evolution equations, 0211 other engineering and technologies, torsion, Dynamical problems in solid mechanics, 02 engineering and technology, Equations in function spaces, evolution equations, Semigroups of nonlinear operators, 0101 mathematics, Local existence and uniqueness theorems (PDE), 01 natural sciences, diagonalization theorem

File Description: application/xml

Access URL: https://zbmath.org/1270948
https://doi.org/10.1016/s0362-546x(97)00562-2
http://dl.acm.org/citation.cfm?id=293811.293813
http://linkinghub.elsevier.com/retrieve/pii/S0362546X97005622
http://www.sciencedirect.com/science/article/pii/S0362546X97005622#!
https://api.elsevier.com/content/article/PII:S0362546X97005622?httpAccept=text/xml

Flow of diffeomorphisms induced by a geometric multiplicative functional

Authors: Lyons, T, Qian, Z

Source: Probability Theory and Related Fields. 112:91-119

Subject Terms: diffeomorphisms, stochastic flow of diffeomorphisms, differential equation driven by a geometric multiplicative functional, 0103 physical sciences, multiplicative functional, Geometric probability and stochastic geometry, Equations in function spaces, evolution equations, Brownian motion, 0101 mathematics, 01 natural sciences, flow of local diffeomorphisms

File Description: application/xml

Access URL: https://zbmath.org/1221919
https://doi.org/10.1007/s004400050184
https://link.springer.com/article/10.1007%2Fs004400050184
https://link.springer.com/content/pdf/10.1007/s004400050184.pdf

Mathematical Analysis of Dynamic Models of Suspension Bridges: Mathematical analysis of dynamic models of suspension bridges

Authors: N. U. Ahmed, H. Harbi

Source: SIAM Journal on Applied Mathematics. 58:853-874

Subject Terms: asymptotic stability, Control/observation systems governed by partial differential equations, suspension bridge, Other PDE from mechanics, existence, uniqueness, and regularity of solutions of the Cauchy problem, Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory, aerodynamic damping, Equations in function spaces, evolution equations, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://locus.siam.org/doi/abs/10.1137/S0036139996308698
https://epubs.siam.org/doi/10.1137/S0036139996308698
https://doi.org/10.1137/S0036139996308698
https://dblp.uni-trier.de/db/journals/siamam/siamam58.html#HarbiA98
http://locus.siam.org/doi/abs/10.1137/S0036139996308698

Structural Symmetries and Solutions of Nonlinear Mechanical Systems: Structural symmetries and solutions of nonlinear mechanical systems

Authors: A. Jeffrey

Source: ZAMM. 78:373-382

Subject Terms: Soliton equations, Initial value problems for linear higher-order PDEs, Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics, Equations in function spaces, evolution equations, similarity solutions, Higher-order parabolic equations, hyperbolic conservation law, Invariance and symmetry properties for PDEs on manifolds, structural symmetry, KdV equations (Korteweg-de Vries equations), geometrical symmetry, travelling waves, Bäcklund transformation, Hamiltonian systems

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Access URL: https://zbmath.org/1172055
https://doi.org/10.1002/(sici)1521-4001(199806)78:6<373::aid-zamm373>3.0.co;2-j
https://ui.adsabs.harvard.edu/abs/1998ZaMM...78..373J/abstract