TY - JOUR
AU - Gennadiy Demidenko
AU - Aleksandr Kudryavtsev
PY - 2021/10/07
Y2 - 2022/01/17
TI - Boundary value problems for the Rayleigh-Bishop equation in a quarter plane
JF - Mathematical notes of NEFU
JA - Math. notes NEFU
VL - 28
IS - 3
SE - Mathematics
DO - https://doi.org/10.25587/SVFU.2021.81.22.001
UR - https://mzsvfu.ru/index.php/mz/article/view/boundary-value-problems-for-the-rayleigh-bishop-equation
AB - 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.
ER -