PDE comparison principles for Robin problems
| Autor: | Jeffrey J. Langford |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
General Mathematics
Mathematical analysis Regular polygon Mathematics::Spectral Theory Poisson distribution Spherical shell Robin boundary condition symbols.namesake Mathematics - Analysis of PDEs 35J05 35B51 FOS: Mathematics symbols Boundary value problem Computer Science::Operating Systems Analysis of PDEs (math.AP) Mathematics |
| Zdroj: | Canadian Journal of Mathematics. 75:108-139 |
| ISSN: | 1496-4279 0008-414X |
| Popis: | We compare the solutions of two Poisson problems in a spherical shell with Robin boundary conditions, one with given data, and one where the data has been cap symmetrized. When the Robin parameters are nonnegative, we show that the solution to the symmetrized problem has larger (increasing) convex means. We prove similar results on balls. We also prove a comparison principle on generalized cylinders with mixed boundary conditions (Neumann and Robin). Improved notation, new mixed results added, typos corrected |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|