Viscosity solutions of second order partial differential equations with boundary conditions on Riemannian manifolds
| Autor: | S. Khajehpour, M. R. Pouryayevali |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Applied Mathematics
010102 general mathematics Mathematical analysis Mixed boundary condition 01 natural sciences Poincaré–Steklov operator Robin boundary condition 010101 applied mathematics symbols.namesake Dirichlet boundary condition Free boundary problem Neumann boundary condition symbols Cauchy boundary condition Boundary value problem 0101 mathematics Analysis Mathematics |
| Zdroj: | Nonlinear Analysis. 146:211-232 |
| ISSN: | 0362-546X |
| DOI: | 10.1016/j.na.2016.08.020 |
| Popis: | The comparison, uniqueness and existence for viscosity solution to a class of fully nonlinear second order partial differential equations with boundary condition on a finite dimensional Riemannian manifold are studied. Some results regarding the regularity of the boundary are obtained. These results show that every compact manifold with C 1 , 1 boundary satisfies the regularity condition. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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