Solution of the nonregular problem for a parabolic equation with the time derivative in the boundary condition

DOI10.3233/ASY-211744zbMath1498.35535OpenAlexW4200236974MaRDI QIDQ5040037

Galina Irzhanovna Bizhanova

Publication date: 11 October 2022

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3233/asy-211744

zbMATH Keywords

existenceuniquenessparabolic equationboundary value problemHölder spacecoercive estimatesconvergence of the solutionsmall parameter in the boundary condition

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Perturbations in context of PDEs (35B20) Second-order parabolic equations (35K10) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Diffusive and convective heat and mass transfer, heat flow (80A19)

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