On the solvability of a nonlocal boundary value problem with the equality of fluxes at a part of the boundary and of the adjoint problem

DOI10.1134/S0012266110050113zbMath1204.35076MaRDI QIDQ610342

E. I. Moiseev, V. E. Ambartsumyan

Publication date: 8 December 2010

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

Laplace operatorboundary value problemadjoint problemintegral representation of solutions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Integral representations of solutions to PDEs (35C15) Series solutions to PDEs (35C10) Boundary value problems in the complex plane (30E25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (6)

On the solvability of a nonlocal boundary value problem with opposite fluxes at a part of the boundary and of the adjoint problem ⋮ Distributed Optimal Control in One Non-Self-Adjoint Boundary Value Problem ⋮ An inverse problem for a two‐dimensional diffusion equation with arbitrary memory kernel ⋮ Direct and inverse problems for the Poisson equation with equality of flows on a part of the boundary ⋮ Problem of optimal control for the Poisson equation with nonlocal boundary conditions ⋮ The Optimal Control Problem for Parabolic Equation with Nonlocal Boundary Conditions in Circular Sector

Cites Work

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