Solvability of the Verigin problem in Sobolev spaces

DOI10.1007/S10958-005-0151-XzbMath1162.35461OpenAlexW2039414928MaRDI QIDQ2567750

E. V. Frolova

Publication date: 13 October 2005

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-005-0151-x

zbMATH Keywords

porous mediumfree boundary problemVerigin problem

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Free boundary problems for PDEs (35R35)

Related Items (2)

The research of a Stefan problem with unknown pressure in a liquid phase ⋮ The Rayleigh-Taylor instability for the verigin problem with and without phase transition

Cites Work

• Classical solutions of the Stefan problem
• \(L_p\)-theory for the Stefan problem
• \(L_p\)-estimates for the solution of the model Verigin problem.
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