Λεπτομέρειες βιβλιογραφικής εγγραφής
| Τίτλος: |
Boundary Riesz potential estimates for parabolic equations with measurable nonlinearities |
| Συγγραφείς: |
Lee, Ho-Sik, Kim, Youchan |
| Πηγή: |
Communications in Analysis and Mechanics, Vol 17, Iss 1, Pp 61-99 (2025) |
| Στοιχεία εκδότη: |
American Institute of Mathematical Sciences (AIMS), 2025. |
| Έτος έκδοσης: |
2025 |
| Θεματικοί όροι: |
riesz potentials, measurable nonlinearities, PDEs with low regular coefficients and/or low regular data, Riesz potentials, Smoothness and regularity of solutions to PDEs, Initial-boundary value problems for second-order parabolic equations, QA801-939, nonlinear parabolic equations, Analytic mechanics, Nonlinear parabolic equations, PDEs with measure, A priori estimates in context of PDEs, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) |
| Περιγραφή: |
We obtain a boundary pointwise gradient estimate on a parabolic half cube $ Q_{2R} \cap \{ (x^{1}, x', t) \in \mathbb{R}^{n+1} : x^{1} > 0 \} $ for nonlinear parabolic equations with measurable nonlinearities, which are only assumed to be measurable in $ x^{1} $-variable. The estimates are obtained in terms of Riesz potential of the right-hand side measure and the oscillation of the boundary data, where the boundary data is given on $ Q_{2R} \cap \{ (x^{1}, x', t) \in \mathbb{R}^{n+1} : x^{1} = 0 \} $. |
| Τύπος εγγράφου: |
Article |
| Περιγραφή αρχείου: |
application/xml |
| ISSN: |
2836-3310 |
| DOI: |
10.3934/cam.2025004 |
| Σύνδεσμος πρόσβασης: |
https://doaj.org/article/753a5937591c43ea822c8d162ecba479 |
| Rights: |
"In Copyright" Rights Statement |
| Αριθμός Καταχώρησης: |
edsair.doi.dedup.....978077e7fe2d7d39a3e3d615e32c7ee6 |
| Βάση Δεδομένων: |
OpenAIRE |