Linearized inverse problem for biharmonic operators at high frequencies

Συγγραφείς: Xiaomeng Zhao, Ganghua Yuan

Πηγή: Mathematical Methods in the Applied Sciences. 48:852-869

Θεματικοί όροι: Inverse problems for PDEs, increasing stability, Mathematics - Analysis of PDEs, biharmonic equation, FOS: Mathematics, 35R30, 31B30, inverse boundary value problem, 0101 mathematics, Biharmonic and polyharmonic equations and functions in higher dimensions, 01 natural sciences, Analysis of PDEs (math.AP)

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2211.02851

THE BIHARMONIC NEUMANN PROBLEM WITH DOUBLE INVOLUTION: The biharmonic Neumann problem with double involution

Συγγραφείς: V.V. Karachik

Πηγή: Bulletin of the South Ural State University series "Mathematics. Mechanics. Physics". 16:18-26

Θεματικοί όροι: Boundary value problems for higher-order elliptic equations, nonlocal Neumann problem, biharmonic equation, solvability conditions, Green's function, Biharmonic and polyharmonic equations and functions in higher dimensions

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On a semilinear fourth order elliptic problem with asymmetric nonlinearity

Συγγραφείς: Fabiana Ferreira, Everaldo S. Medeiros, Wallisom Rosa

Πηγή: Topological Methods in Nonlinear Analysis. :1-13

Θεματικοί όροι: Boundary value problems for higher-order elliptic equations, biharmonic equation, existence, Existence problems for PDEs: global existence, local existence, non-existence, Navier boundary condition, 0101 mathematics, Biharmonic and polyharmonic equations and functions in higher dimensions, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/7658851
https://doi.org/10.12775/tmna.2022.028

Superharmonicity of curvature function for the convex level sets of harmonic functions

Συγγραφείς: Wei Zhang, Xi-Nan Ma

Πηγή: Calculus of Variations and Partial Differential Equations. 60

Θεματικοί όροι: convex level sets, 0101 mathematics, Higher-order elliptic equations, Biharmonic and polyharmonic equations and functions in higher dimensions, 01 natural sciences, Harmonic, subharmonic, superharmonic functions in higher dimensions, harmonic functions

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/7384294
https://doi.org/10.1007/s00526-021-02023-4
https://link.springer.com/content/pdf/10.1007/s00526-021-02023-4.pdf
https://link.springer.com/article/10.1007/s00526-021-02023-4

Concentration for a biharmonic Schrödinger equation

Συγγραφείς: Dong Wang

Πηγή: Pacific Journal of Mathematics. 289:469-487

Θεματικοί όροι: Variational methods for higher-order elliptic equations, Schrödinger operator, Schrödinger equation, 0101 mathematics, Biharmonic and polyharmonic equations and functions in higher dimensions, 01 natural sciences, standing waves, nonlinear biharmonic Schrödinger equation

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://msp.org/pjm/2017/289-2/pjm-v289-n2-p09-s.pdf
https://msp.org/pjm/2017/289-2/p09.xhtml

Inverse boundary value problems for the perturbed polyharmonic operator

Συγγραφείς: Krupchyk, Katsiaryna, Lassas, Matti, Uhlmann, Gunther

Πηγή: Transactions of the American Mathematical Society, vol 366, iss 1

Θεματικοί όροι: Inverse problems for PDEs, General Mathematics, math-ph, Dirichlet-to-Neumann map, FOS: Physical sciences, 31B30, polyharmonic operator, Biharmonic and polyharmonic equations and functions in higher dimensions, 01 natural sciences, complex geometric optics, math.MP, Mathematics - Analysis of PDEs, FOS: Mathematics, 35R30, 31B20, 31B30, 35J40, 0101 mathematics, Boundary value and inverse problems for harmonic functions in higher dimensions, math.AP, Mathematical Physics, Applied Mathematics, uniqueness, Mathematical Physics (math-ph), 31B20, 35J40, Pure Mathematics, 35R30, Boundary value problems for higher-order elliptic equations, inverse boundary value problem, Analysis of PDEs (math.AP)

Περιγραφή αρχείου: application/xml; application/pdf

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/1102.5542
https://www.ams.org/journals/tran/2014-366-01/S0002-9947-2013-05713-3/
https://www.math.washington.edu/~gunther/publications/Papers/biharmonictransactions.pdf
https://www.ams.org/tran/2014-366-01/S0002-9947-2013-05713-3/S0002-9947-2013-05713-3.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=4606641
https://escholarship.org/content/qt92h4x578/qt92h4x578.pdf?t=om6wk1
https://escholarship.org/uc/item/92h4x578.pdf
https://escholarship.org/uc/item/92h4x578

On one representation of analytic functions by harmonic functions

Συγγραφείς: Karachik V.V.

Πηγή: Siberian Advances in Mathematics. 18:103-117

Θεματικοί όροι: polyharmonic function, polynomial, Almansi's formula, 0101 mathematics, Biharmonic and polyharmonic equations and functions in higher dimensions, 01 natural sciences, analytic function

Περιγραφή αρχείου: application/xml; application/pdf

Σύνδεσμος πρόσβασης: https://zbmath.org/6007993
https://doi.org/10.3103/s1055134408020041
https://link.springer.com/content/pdf/10.3103%2FS1055134408020041.pdf
http://www.springerlink.com/index/10.3103/S1055134408020041
https://link.springer.com/article/10.3103/S1055134408020041
http://dspace.susu.ru/handle/0001.74/20662

Cardinal interpolation with polysplines on annuli

Συγγραφείς: Ognyan Kounchev, Hermann Render

Πηγή: Dialnet CRIS Repositorio institucional de la Universidad de La Rioja
instname

Θεματικοί όροι: Mathematics(all), Numerical Analysis, cardinal spline interpolation, Applied Mathematics, Polyharmonic functions in annulus, Cardinal splines, Polysplines, Biharmonic and polyharmonic equations and functions in higher dimensions, 01 natural sciences, L-splines, polyharmonic functions in annulus, Spline approximation, Biharmonic functions, Schoenberg interpolation theorems, 0101 mathematics, Spherical harmonics, Cardinal spline interpolation, Analysis

Περιγραφή αρχείου: application/pdf; application/xml

Σύνδεσμος πρόσβασης: https://ur.portalcientifico.es/documentos/5bbc68e9b750603269e81198
https://www.sciencedirect.com/science/article/pii/S0021904505001437
http://www.math.bas.bg/~kounchev/Papers_pdf/2005JAT03-0231_rev2.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=1338518
https://core.ac.uk/display/82240378
https://dblp.uni-trier.de/db/journals/jat/jat137.html#KounchevR05
https://doi.org/10.1016/j.jat.2005.08.003

The Brunn?Minkowski Inequality for the n-dimensional Logarithmic Capacity of Convex Bodies: The Brunn-Minkowski inequality for the \(n\)-dimensional logarithmic capacity of convex bodies

Συγγραφείς: Andrea Colesanti, Paola Cuoghi

Πηγή: Potential Analysis. 22:289-304

Θεματικοί όροι: Potentials and capacities on other spaces, 0101 mathematics, Convex sets in \(n\) dimensions (including convex hypersurfaces), Biharmonic and polyharmonic equations and functions in higher dimensions, logarithmic capacity, 01 natural sciences, Brunn-Minkowski inequality, convex body

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/2162297
https://doi.org/10.1007/s11118-004-1326-7
https://rd.springer.com/article/10.1007/s11118-004-1326-7
https://link.springer.com/article/10.1007/s11118-004-1326-7

A note on hyperharmonic and polyharmonic functions

Συγγραφείς: Miroslav Pavlović, Miroljub Jevtić

Πηγή: Journal of Mathematical Analysis and Applications. 296:276-285

Θεματικοί όροι: 0301 basic medicine, polyharmonic functions, 03 medical and health sciences, hyperharmonic functions, Applied Mathematics, Hyperbolically harmonic functions, Polyharmonic functions, 0101 mathematics, Hypergeometric functions, Biharmonic and polyharmonic equations and functions in higher dimensions, 01 natural sciences, Analysis

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/2093833
https://doi.org/10.1016/j.jmaa.2004.04.015
https://core.ac.uk/display/82285493
https://www.sciencedirect.com/science/article/pii/S0022247X04003208
https://www.sciencedirect.com/science/article/abs/pii/S0022247X04003208
http://poincare.matf.bg.ac.rs/~pavlovic/MJ14.pdf

Distributions and measures on the boundary of a tree

Συγγραφείς: Flavia Colonna, Joel M. Cohen, David Singman

Πηγή: Journal of Mathematical Analysis and Applications. 293:89-107

Θεματικοί όροι: Distributions and ultradistributions as boundary values of analytic functions, space of measures, ultrametric spaces, Applied Mathematics, Spaces of measures, convergence of measures, boundary behavior of polyharmonic functions, Measures, Biharmonic and polyharmonic equations and functions in higher dimensions, 01 natural sciences, Trees, space of distributions, Distributions, 0101 mathematics, Boundary behavior of harmonic functions in higher dimensions, Analysis

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/2082131
https://doi.org/10.1016/j.jmaa.2003.12.015
https://core.ac.uk/display/81145133
http://math.gmu.edu/%7Edsingman/measure.pdf
http://www.sciencedirect.com/science/article/pii/S0022247X04000241
https://www.sciencedirect.com/science/article/pii/S0022247X04000241

An approach to spectral problems on Riemannian manifolds

Συγγραφείς: Isaac Z. Pesenson

Πηγή: Pacific Journal of Mathematics. 215:183-199

Θεματικοί όροι: Mathematics - Functional Analysis, polyharmonic function, Potential theory on Riemannian manifolds and other spaces, Laplace-Beltrami operator, Spectral problems, spectral geometry, scattering theory on manifolds, eigenvalues, FOS: Mathematics, General topics in linear spectral theory for PDEs, 0101 mathematics, Biharmonic and polyharmonic equations and functions in higher dimensions, 01 natural sciences, Functional Analysis (math.FA)

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/pdf/1403.4983
http://arxiv.org/abs/1403.4983
https://dialnet.unirioja.es/servlet/articulo?codigo=2143629
http://ui.adsabs.harvard.edu/abs/2014arXiv1403.4983P/abstract
https://www.arxiv-vanity.com/papers/1403.4983/
https://arxiv.org/pdf/1403.4983

On higher order Bessel potentials

Συγγραφείς: A. S. Abdel-Rady, H. Begehr

Πηγή: Archiv der Mathematik. 82:361-370

Θεματικοί όροι: recurrence relations, Bessel potential, polyharmonic equation, 0101 mathematics, Biharmonic and polyharmonic equations and functions in higher dimensions, Higher-order elliptic equations, 01 natural sciences, Potentials and capacities, extremal length and related notions in higher dimensions

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://link.springer.com/article/10.1007%2Fs00013-003-0103-y

Estimates on the Green function and existence of positive solutions for some polyharmonic nonlinear equations in the half space

Συγγραφείς: Imed Bachar, Malek Zribi, Habib Mâagli

Πηγή: manuscripta mathematica. 113:269-291

Θεματικοί όροι: Boundary value problems for higher-order elliptic equations, Green function, positive solution, \(m\)-polyharmonic nonlinear elliptic problem, Nonlinear elliptic equations, 0101 mathematics, Biharmonic and polyharmonic equations and functions in higher dimensions, Dirichlet boundary conditions, 01 natural sciences, 3G-Theorem, Kato class of functions

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://link.springer.com/article/10.1007/s00229-003-0410-4
https://dialnet.unirioja.es/servlet/articulo?codigo=2804586
https://documat.unirioja.es/servlet/articulo?codigo=2804586

Estimate of the Norm of a Polyanalytic Function via the Norm of Its Polyharmonic Component: Estimate of the norm of a polyanalytic function via the norm of its polyharmonic component

Συγγραφείς: A. K. Ramazanov

Πηγή: Mathematical Notes. 75:568-573

Θεματικοί όροι: polyharmonic function, Cauchy--Riemann equation, Riesz inequality, Generalizations of Bers and Vekua type (pseudoanalytic, \(p\)-analytic, etc.), polyanalytic function, Hardy space, 0101 mathematics, Biharmonic and polyharmonic equations and functions in higher dimensions, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/2121388
https://doi.org/10.1023/b:matn.0000023338.10651.df
https://link.springer.com/article/10.1023/B%3AMATN.0000023338.10651.df

Biharmonic problem in exterior domains: Biharmonic problem in exterior domains.

Συγγραφείς: Mathieu Fontes, Chérif Amrouche

Πηγή: Comptes Rendus. Mathématique. 338:121-126

Θεματικοί όροι: regularity, Boundary value problems for higher-order elliptic equations, biharmonic equation, Smoothness and regularity of solutions to PDEs, existence, uniqueness, 0101 mathematics, Biharmonic and polyharmonic equations and functions in higher dimensions, 01 natural sciences, Dirichlet problem

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/2057072
https://doi.org/10.1016/j.crma.2003.10.026
https://www.sciencedirect.com/science/article/abs/pii/S1631073X03004813
https://www.sciencedirect.com/science/article/pii/S1631073X03004813

Normalized system of functions with respect to the Laplace operator and its applications: Normalized system of functions with respect to the Laplace operator and its applications.

Συγγραφείς: Valery Karachik

Πηγή: Journal of Mathematical Analysis and Applications. 287:577-592

Θεματικοί όροι: polyharmonic functions, Applied Mathematics, Polyharmonic functions, Helmholtz equation, Systems of elliptic equations, boundary value problems, 0101 mathematics, normalized systems, Biharmonic and polyharmonic equations and functions in higher dimensions, 01 natural sciences, Analysis

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/2022078
https://doi.org/10.1016/s0022-247x(03)00583-3
https://www.sciencedirect.com/science/article/pii/S0022247X03005833

A New Boundary Element Method for the Biharmonic Equation with Dirichlet Boundary Conditions: A new boundary element method for the biharmonic equation with Dirichlet boundary conditions

Συγγραφείς: William McLean, Youngmok Jeon

Πηγή: Advances in Computational Mathematics. 19:339-354

Θεματικοί όροι: single layer potential, Integral representations, integral operators, integral equations methods in higher dimensions, Boundary value problems for higher-order elliptic equations, biharmonic equation, Integral representations, integral operators, integral equations methods in two dimensions, Almansi representation, boundary integral equation, Boundary element methods for boundary value problems involving PDEs, 0101 mathematics, Biharmonic and polyharmonic equations and functions in higher dimensions, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/1953653
https://doi.org/10.1023/a:1024206232212
https://dblp.uni-trier.de/db/journals/adcm/adcm19.html#JeonM03
https://link.springer.com/article/10.1023%2FA%3A1024206232212

A Sobolev inequality with remainder term and critical equations on domains with topology for the polyharmonic operator

Συγγραφείς: Michel Willem, Thomas Bartsch, Tobias Weth

Πηγή: Calculus of Variations and Partial Differential Equations. 18:253-268

Θεματικοί όροι: Boundary value problems for higher-order elliptic equations, Sobolev inequality, critical manifold, Nonlinear elliptic equations, 0101 mathematics, polyharmonic operator, Biharmonic and polyharmonic equations and functions in higher dimensions, Critical exponents in context of PDEs, Higher-order elliptic equations, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/2078239
https://doi.org/10.1007/s00526-003-0198-9
https://dial.uclouvain.be/pr/boreal/object/boreal:40682
https://link.springer.com/article/10.1007/s00526-003-0198-9
https://link.springer.com/10.1007/s00526-003-0198-9

The approximation order of polysplines

Συγγραφείς: Kounchev, Ognyan, Render, Hermann

Πηγή: Proceedings of the American Mathematical Society. 132:455-461

Θεματικοί όροι: approximation order, Cardinal polysplines, Cardinal L-splines, Polyharmonic functions, Cardinal splines, Polysplines, Biharmonic and polyharmonic equations and functions in higher dimensions, 01 natural sciences, polyharmonic functions, Spline approximation, Approximation order of splines, Boundary value problems for higher-order elliptic equations, polysplines, 0101 mathematics

Περιγραφή αρχείου: application/xml; application/pdf

Σύνδεσμος πρόσβασης: https://www.ams.org/proc/2004-132-02/S0002-9939-03-07069-2/S0002-9939-03-07069-2.pdf
https://researchrepository.ucd.ie/bitstream/10197/5519/1/appordb_Galley_Latex.pdf
https://www.ams.org/journals/proc/2004-132-02/S0002-9939-03-07069-2/home.html
https://www.jstor.org/stable/1194075
https://www.ams.org/proc/2004-132-02/S0002-9939-03-07069-2/S0002-9939-03-07069-2.pdf
http://researchrepository.ucd.ie/handle/10197/5519
http://hdl.handle.net/10197/5519