\(L_p\)-theory for the Stefan problem

DOI10.1007/BF02673603zbMath0906.35119MaRDI QIDQ1129799

E. V. Frolova, Vsevolod A. Solonnikov

Publication date: 20 August 1998

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

zbMATH Keywords

regularityanisotropic Sobolev spaceslocal solvabilityone-phase Stefan problemHanzawa transformation

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Free boundary problems for PDEs (35R35)

Related Items (13)

Existence of analytic solutions for the classical Stefan problem ⋮ A dynamic boundary value problem arising in the ecology of mangroves ⋮ Multiplication in vector‐valued anisotropic function spaces and applications to non‐linear partial differential equations ⋮ Global stability of steady states in the classical Stefan problem for general boundary shapes ⋮ Local Well-Posedness and Global Stability of the Two-Phase Stefan Problem ⋮ Vsevolod Alekseevich Solonnikov (on the occasion of his 70th birthday) ⋮ Well-posedness for the classical Stefan problem and the zero surface tension limit ⋮ On melting and freezing for the 2D radial Stefan problem ⋮ Regularity results and exponential growth for pullback attractors of a non-autonomous reaction-diffusion model with dynamical boundary conditions ⋮ Well-Posedness for a moving boundary model of an evaporation front in a porous medium ⋮ Solvability of the Verigin problem in Sobolev spaces ⋮ Global Stability and Decay for the Classical Stefan Problem ⋮ Boundary value problems of mathematical physics and related problems of function theory. Part 34. Transl. from the Russian

Cites Work

• An initial boundary value problem with noncoercive boundary condition in domains with edges
• Classical solutions of the Stefan problem
• The smoothness of the free boundary in the one phase stefan problem
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: \(L_p\)-theory for the Stefan problem