Abstract
We consider initial-boundary value problems for the Rayleigh–Bishop equation in a quarter plane. It is assumed that the initial-boundary value problems satisfy the Lopatinskii condition. A unique solvability in an anisotropic Sobolev space with an exponential weight is proved and an estimate for the solution is established.
| Translated title of the contribution | Boundary value problems for the Rayleigh-Bishop equation in a quarter plane |
|---|---|
| Original language | Russian |
| Article number | 1 |
| Pages (from-to) | 5-18 |
| Number of pages | 14 |
| Journal | Mathematical Notes of NEFU |
| Volume | 28 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 2021 |
Keywords
- Initial-boundary value problem
- Lopatinskii condition
- Pseudohyperbolic equation
- Rayleigh–Bishop equation
- Sobolev space
OECD FOS+WOS
- 1.01 MATHEMATICS
State classification of scientific and technological information
- 27.31 Differential equations with partial derivatives