Global solvability for some parabolic inverse problems

DOI10.1016/0022-247X(91)90157-UzbMath0754.35188OpenAlexW1968895116MaRDI QIDQ1190575

Hong-Ming Yin

Publication date: 26 September 1992

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

Full work available at URL: https://doi.org/10.1016/0022-247x(91)90157-u

zbMATH Keywords

global existencecoefficient determination

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Inverse problems for PDEs (35R30) Partial functional-differential equations (35R10) A priori estimates in context of PDEs (35B45)

Related Items (6)

Coefficient inverse problem for the degenerate parabolic equation ⋮ Determination of the lower coefficient in a parabolic equation with strong power degeneration ⋮ On a coefficient inverse problem for a parabolic equation in a domain with free boundary ⋮ Determination of the lowest coefficient for a one-dimensional parabolic equation in a domain with free boundary ⋮ Identifying a spherically symmetric conductivity in a nonlinear parabolic equation ⋮ Identification of the unknown parameters in the parabolic equation in a free boundary domain

Cites Work

• A class of nonlinear non-classical parabolic equations
• Parameter determination in parabolic partial differential equations from overspecified boundary data
• Analyticity of the free boundary for the Stefan problem
• Determination of certain parameters in heat conduction problems
• Unique Identification of Eigenvalues and Coefficients in a Parabolic Problem
• Determination of a parameter p(t) in some quasi-linear parabolic differential equations
• A uniqueness theorem for a class of non-classical parabolic equations
• Determination of an unknown non-homogeneous term in a linear partial differential equation .from overspecified boundary data
• Various methods for finding unknown coefficients in parabolic differential equations
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