Gradient Hölder regularity for parabolic normalized p(x,t)-Laplace equation
| Autor: | Chao Zhang, Yuzhou Fang |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Laplace's equation
Spacetime Applied Mathematics 010102 general mathematics Mathematical analysis Mathematics::Analysis of PDEs 01 natural sciences 010101 applied mathematics Mathematics - Analysis of PDEs Differential game FOS: Mathematics 0101 mathematics Viscosity solution Analysis Analysis of PDEs (math.AP) Mathematics |
| Zdroj: | Journal of Differential Equations. 295:211-232 |
| ISSN: | 0022-0396 |
| Popis: | We consider the interior Holder regularity of spatial gradient of viscosity solution to the parabolic normalized p ( x , t ) -Laplace equation u t = ( δ i j + ( p ( x , t ) − 2 ) u i u j | D u | 2 ) u i j with some suitable assumptions on p ( x , t ) , which arises naturally from a two-player zero-sum stochastic differential game with probabilities depending on space and time. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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