On correctness of a mixed problem for the heat equation with the mixed derivative in the boundary condition

DOI10.1134/S1995080221080151zbMath1472.35211OpenAlexW3196692272MaRDI QIDQ1982464

Yanyan Li

Publication date: 8 September 2021

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080221080151

zbMATH Keywords

separation of variablesspectral problem

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Heat equation (35K05) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Series solutions to PDEs (35C10)

Cites Work

• On the spectral problem arising in the solution of a mixed problem for the heat equation with a mixed derivative in the boundary condition
• Convergence of spectral expansions for functions of the Hölder class for two problems with a spectral parameter in the boundary condition
• The basis property in \(L_p\) of the system of eigenfunctions corresponding to two problems with a spectral parameter in the boundary condition

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