Existence of a Degenerate Singularity in the High Activation Energy Limit of a Reaction–Diffusion Equation

DOI10.1080/03605300903338322zbMath1196.35099arXiv0904.1261OpenAlexW2084014733WikidataQ60562204 ScholiaQ60562204MaRDI QIDQ3550969

Georg Sebastian Weiss, Guang-Hui Zhang

Publication date: 8 April 2010

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0904.1261

zbMATH Keywords

singular pointfree boundaryunstable singularity

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Singular perturbations in context of PDEs (35B25) Free boundary problems for PDEs (35R35) Semilinear elliptic equations (35J61)

Cites Work

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• Cross-shaped and degenerate singularities in an unstable elliptic free boundary problem
• A Free-Boundary Problem for the Heat Equation Arising in Flame Propagation
• Partial regularity for weak solutions of an elliptic free boundary problem

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