Determination of a diffusion coefficient in a quasilinear parabolic equation

DOI10.1515/math-2017-0003zbMath1372.35366OpenAlexW2588582878MaRDI QIDQ516752

Fatma Kanca

Publication date: 15 March 2017

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

Full work available at URL: https://doi.org/10.1515/math-2017-0003

zbMATH Keywords

heat equationinverse problemnonlocal boundary conditionintegral overdetermination conditiontime-dependent diffusion coefficient

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Overdetermined systems of PDEs with variable coefficients (35N10) Quasilinear parabolic equations (35K59)

Cites Work

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• Analysis of non-homogeneous heat model with new trend of derivative with fractional order
• On the new fractional derivative and application to nonlinear Fisher's reaction-diffusion equation
• An inverse coefficient problem for a quasilinear parabolic equation with nonlocal boundary conditions
• A numerical method for solving a nonlinear inverse parabolic problem
• An inverse coefficient problem for a parabolic equation in the case of nonlocal boundary and overdetermination conditions
• Determination of parameter p(t) in Holder classes for some semilinear parabolic equations
• An existence result for an inverse problem for a quasilinear parabolic equation

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