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An inverse source problem for the heat equation

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Publication:910620
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DOI10.1016/0022-247X(89)90175-3zbMath0696.35188MaRDI QIDQ910620

Igor Malyshev

Publication date: 1989

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)


zbMATH Keywords

noncylindrical domainsuccessive approximationsparabolic potentialsunknown source function


Mathematics Subject Classification ID

Heat equation (35K05) Inverse problems for PDEs (35R30) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Volterra integral equations (45D05)


Related Items

A numerical method for an inverse source problem for parabolic equations and its application to a coefficient inverse problem, An inverse space-dependent source problem for hyperbolic equations and the Lipschitz-like convergence of the quasi-reversibility method, Abstract inverse problem and application, A New Earthquake Location Method Based on the Waveform Inversion, Determination of a source term in a heat equation, Modeling and solution of stochastic inverse problems in mathematical physics, The boundary-element method for the determination of a heat source dependent on one variable, A nonlinear inverse heat transfer problem



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