Non-uniqueness of solutions to the Cauchy problem for semilinear heat equations with singular initial data
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Publication:1890253
DOI10.1007/s00208-004-0515-4zbMath1059.35055OpenAlexW2007373461MaRDI QIDQ1890253
Publication date: 29 December 2004
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00208-004-0515-4
Nonlinear parabolic equations (35K55) Nonlinear elliptic equations (35J60) Initial value problems for second-order parabolic equations (35K15)
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On a decay property of solutions to the Haraux-Weissler equation ⋮ Uniqueness and nondegeneracy of positive radial solutions of \(\operatorname{div}(\rho\nabla u)+\rho (-gu+hu^p)=0\) ⋮ Positive solutions for semilinear elliptic equations with singular forcing terms ⋮ Existence of peaking solutions for semilinear heat equations with blow-up profile above the singular steady state ⋮ Selfsimilar expanders of the harmonic map flow ⋮ The role of forward self-similar solutions in the Cauchy problem for semilinear heat equations ⋮ Existence and multiplicity of self-similar solutions for heat equations with nonlinear boundary conditions ⋮ Asymptotically self-similar behaviour of global solutions for semilinear heat equations with algebraically decaying initial data
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