Existence of solutions with moving singularities for a semilinear heat equation with a critical exponent

DOI10.1016/j.matpur.2021.02.007zbMath1459.35251OpenAlexW3132799405MaRDI QIDQ2656186

Jin Takahashi

Publication date: 10 March 2021

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2021.02.007

zbMATH Keywords

singular solutionnonuniquenessmoving singularityexplicit singular leading term

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Singularity in context of PDEs (35A21) Semilinear parabolic equations (35K58) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (3)

Entire solutions with moving singularities for a semilinear heat equation with a critical exponent ⋮ Solutions with snaking singularities for the fast diffusion equation ⋮ Moving singularities for nonlinear diffusion equations in two space dimensions

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