Optimal singularities of initial data for solvability of the Hardy parabolic equation
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Publication:2040143
DOI10.1016/J.JDE.2021.06.011zbMath1469.35123arXiv2102.04618OpenAlexW3177448471MaRDI QIDQ2040143
Publication date: 12 July 2021
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.04618
Initial value problems for second-order parabolic equations (35K15) Singularity in context of PDEs (35A21) Semilinear parabolic equations (35K58) Singular parabolic equations (35K67)
Related Items (10)
Optimal well-posedness and forward self-similar solution for the Hardy-Hénon parabolic equation in critical weighted Lebesgue spaces ⋮ A special self-similar solution and existence of global solutions for a reaction-diffusion equation with Hardy potential ⋮ Initial traces and solvability for a semilinear heat equation on a half space of ℝ^{ℕ} ⋮ Radial equivalence and applications to the qualitative theory for a class of nonhomogeneous reaction‐diffusion equations ⋮ Eternal solutions in exponential self-similar form for a quasilinear reaction-diffusion equation with critical singular potential ⋮ Existence of sign-changing solutions for the Hénon type parabolic equation with singular initial data ⋮ Existence and blow-up of solutions in Hénon-type heat equation with exponential nonlinearity ⋮ Blow-up patterns for a reaction-diffusion equation with weighted reaction in general dimension ⋮ Self-similar solutions preventing finite time blow-up for reaction-diffusion equations with singular potential ⋮ Solvability of superlinear fractional parabolic equations
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