Inverse problems of potential theory (elliptic, parabolic, hyperbolic, and transport equations)
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Publication:1218108
DOI10.1007/BF01462264zbMath0307.35080OpenAlexW2087600451MaRDI QIDQ1218108
Publication date: 1974
Published in: Mathematical Notes (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01462264
Integro-partial differential equations (45K05) Inverse problems for PDEs (35R30) Second-order elliptic equations (35J15) Second-order hyperbolic equations (35L10) Second-order parabolic equations (35K10)
Related Items (16)
Inverse problem with final overdetermination for time-fractional differential equation in a Banach space ⋮ On approximation of coefficient inverse problems for differential equations in functional spaces ⋮ Criteria of the uniqueness of solutions and well-posedness of inverse source problems ⋮ Unnamed Item ⋮ Counterexamples in inverse problems for parabolic, elliptic, and hyperbolic equations ⋮ Unnamed Item ⋮ ON A LINEAR INVERSE POTENTIAL PROBLEM WITH APPROXIMATE DATA ON THE POTENTIAL FIELD ON AN APPROXIMATELY GIVEN SURFACE ⋮ Minimum principle for the Tikhonov functional in the problem of stable continuation of a potential field from a surface ⋮ Determination of the right-hand side in elliptic equations ⋮ Approximation of the Bitsadze-Samarskii inverse problem for an elliptic equation with the Dirichlet conditions ⋮ A uniqueness theorem in an identification problem for coefficients of parabolic equations ⋮ The difference problem of obtaining the parameter of a parabolic equation ⋮ The inverse problem of recovering the source in a parabolic equation under a condition of nonlocal observation ⋮ Numerical study of the coefficient identification algorithm based on ensembles of adjoint problem solutions for a production-destruction model ⋮ Construction of a Carleman function based on the Tikhonov regularization method in an ill-posed problem for the Laplace equation ⋮ Inverse problem with overdetermination of the third kind for an abstract second-order differential equation
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