Uniqueness classes in inverse problems for parabolic equations with several unknown coefficients

DOI10.1134/S1064562410040198zbMath1202.35347MaRDI QIDQ600750

N. L. Gol'dman

Publication date: 1 November 2010

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

zbMATH Keywords

uniquenessparabolic equationsill-posed problemsadmissible solutionscoefficient inverse problems

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Related Items (1)

Inverse problems with final overdetermination for parabolic equations with unknown coefficients multiplying the highest derivative

Cites Work

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• The duality principle and the uniqueness problem for some classes of parabolic equations with unknown coefficients
• Parabolic equations with an unknown absorption coefficient
• Unique continuation for parabolic differential equations and inequalities
• Global uniqueness and Hölder stability for recovering a nonlinear source term in a parabolic equation
• Inverse problems for partial differential equations

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