Обратные задачи для некоторых квазилинейных параболических систем с точечными условиями переопределения

DOI10.33048/MATTRUDY.2019.22.107zbMath1492.35431OpenAlexW4250807272MaRDI QIDQ5088756

Valerĭ Vital'Evich Rotko, Sergei G. Pyatkov

Publication date: 13 July 2022

Published in: Matematicheskie trudy (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/mt352

zbMATH Keywords

inverse problemconvection-diffusionparabolic systemheat-and-mass transfersource function

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Inverse problems for PDEs (35R30) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

Related Items (1)

Inverse problem for equations of complex heat transfer with Fresnel matching conditions

Cites Work

• Solvability of some inverse problems for the nonstationary heat-and-mass-transfer system
• Asymptotic expansion of solutions to an inverse problem of parabolic type
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• Convergence to a stationary state of solutions to inverse problems of parabolic type
• Optimal \(L^{p}\)- \(L^{q}\)-estimates for parabolic boundary value problems with inhomogeneous data
• On some classes of coefficient inverse problems for parabolic systems of equations
• Operator-Valued Fourier Multipliers, Vector - Valued Besov Spaces, and Applications
• On an inverse source problem for the heat equation. Application to a pollution detection problem
• Point source identification in nonlinear advection–diffusion–reaction systems
• ON THE SOURCE FUNCTION RECOVERING IN QUAZILINEAR PARABOLIC PROBLEMS WITH POINTWISE OVERDETERMINATION CONDITIONS
• Inverse source problem in an advection–dispersion–reaction system: application to water pollution
• Analytic semigroups and optimal regularity in parabolic problems
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