Properties of solutions of parabolic equations with unknown coefficients

DOI10.1134/S0012266111010071zbMath1219.35357MaRDI QIDQ542156

N. L. Gol'dman

Publication date: 8 June 2011

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

inverse problemsparabolic equationsunknown coefficients

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Inverse problems for PDEs (35R30) Parabolic equations and parabolic systems (35K99) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (6)

On mathematical models with unknown nonlinear convection coefficients in one-phase heat transform processes ⋮ Uniqueness classes of solutions of two-phase coefficient inverse Stefan problems ⋮ On approximation of coefficient inverse problems for differential equations in functional spaces ⋮ One-phase inverse Stefan problems with unknown nonlinear sources ⋮ One-phase inverse Stefan problem with an unknown distributed convection coefficient ⋮ Uniqueness of determination of a source function in a quasilinear inverse Stefan problem with final observation

Cites Work

• Unnamed Item
• Strict positive property of the derivative of the solution of a partial differential equation
• The principle of the positiveness of a solution to a linear inverse problem and its application to the coefficient heat conduction problem
• Monotonicity conditions for the solution of a quasilinear heat conduction equation with a discontinuous coefficient
• Parabolic equations with an unknown absorption coefficient
• Unique continuation for parabolic differential equations and inequalities
• Monotonicity and Uniqueness Results in Identifying an Unknown Coefficient in a Nonlinear Diffusion Equation
• Global uniqueness and Hölder stability for recovering a nonlinear source term in a parabolic equation

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