Smooth solutions to a class of free boundary parabolic problems

DOI10.1090/S0002-9947-03-03309-9zbMath1092.35116OpenAlexW1493395920MaRDI QIDQ4441744

Olivier Baconneau, Alessandra Lunardi

Publication date: 7 January 2004

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-03-03309-9

zbMATH Keywords

regularityexistenceheat equationuniqueness

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Heat equation (35K05) Combustion (80A25) Free boundary problems for PDEs (35R35)

Related Items (9)

A free boundary problem arising in flame propagation. ⋮ On convergence of solutions to equilibria for fully nonlinear parabolic systems with nonlinear boundary conditions ⋮ A boundary value problem for a parabolic-type equation in a non-cylindrical domain ⋮ Mean curvature flow with triple junctions in higher space dimensions ⋮ Local in time solvability of a nonstandard free boundary problem in stratigraphy: a Lagrangian approach ⋮ Mean Curvature Motion of Triple Junctions of Graphs in Two Dimensions ⋮ PDE backstepping control of one-dimensional heat equation with time-varying domain ⋮ Nonuniqueness in a free boundary problem from combustion ⋮ Control of parabolic PDEs with time-varying spatial domain: Czochralski crystal growth process

Cites Work

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• Classical solutions to a multidimensional free boundary problem arising in combustion theory
• A Free-Boundary Problem for the Heat Equation Arising in Flame Propagation
• Classical Solutions of Multidimensional Hele--Shaw Models
• Uniqueness of solution to a free boundary problem from combustion
• Theory of Laminar Flames
• Analytic semigroups and optimal regularity in parabolic problems
• A critical case of stability in a free boundary problem

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