Inverse source problem for heat equation with nonlocal Wentzell boundary condition

DOI10.1007/s00025-018-0829-2zbMath1393.35287OpenAlexW2799386695WikidataQ129911858 ScholiaQ129911858MaRDI QIDQ722481

Mansur I. Ismailov

Publication date: 23 July 2018

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-018-0829-2

zbMATH Keywords

heat equationinitial-boundary value probleminverse source problemgeneralized Fourier methodWentzell-Neumann boundary condition

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Heat equation (35K05) Inverse problems for PDEs (35R30) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (7)

THE UNIQUE SOLVABILITY OF A NONLOCAL INVERSE BOUNDARY-VALUE PROBLEM FOR THE PSEUDO-HYPERBOLIC EQUATION OF FOURTH ORDER ⋮ Exact Controllability for a Schrödinger Equation with Dynamic Boundary Conditions ⋮ Identification of source terms in heat equation with dynamic boundary conditions ⋮ Convolution kernel determining problem for an integro-differential heat equation with nonlocal initial-boundary and overdetermination conditions ⋮ Kernel determination problem in an integro-differential equation of parabolic type with nonlocal condition ⋮ Inverse time-dependent source problem for the heat equation with a nonlocal Wentzell-Neumann boundary condition ⋮ Polynomial decay rate for dissipative wave equations with mixed boundary conditions

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