Annotation
The internal and external initial-boundary value problems for 3D equation ${\frac{\partial}{\partial t}(\Delta u-u)-u=0}$ are considered. The problems are posed under the Dirichlet boundary condition on a Lyapunov surface. Using the method of dynamic potentials, the theorems of the unique existence of the solution are proved.
© 2016 Publisher M.V.Lomonosov Moscow State University
Authors
A.B. Al’shin, P.A. Chubenko
Department of Mathematics, Faculty of Physics, Moscow State University, Leninskie gory, Moscow, 119992, Russia
Department of Mathematics, Faculty of Physics, Moscow State University, Leninskie gory, Moscow, 119992, Russia
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