Hölder space solutions of free boundary problems that arise in combustion theory

DOI10.1090/spmj/1384zbMath1334.35438OpenAlexW2497590027MaRDI QIDQ2786978

Galina Irzhanovna Bizhanova

Publication date: 24 February 2016

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/spmj/1384

zbMATH Keywords

heat equationHölder spacesfree boundary problemsunique solvabilitycoercive estimates for solutions

Mathematics Subject Classification ID

Free boundary problems for PDEs (35R35)

Cites Work

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• Conservation laws in mathematical biology
• One-phase parabolic free boundary problem in a convex ring
• A free-boundary problem for the evolution \(p\)-Laplacian equation with a combustion boundary condition
• Classical solutions of the Stefan problem
• Differential models of hysteresis
• A free boundary problem arising in flame propagation.
• Modelling wax diffusion in crude oils: the cold finger device
• Classical solutions to parabolic systems with free boundary of Stefan type
• Models of phase transitions
• ON EXISTENCE AND UNIQUENESS IN A FREE BOUNDARY PROBLEM FROM COMBUSTION
• A Free Boundary Problem for an Elliptic–Parabolic System: Application to a Model of Tumor Growth