Sign-changing self-similar solutions of the nonlinear heat equation with positive initial value

DOI10.1353/AJM.2020.0037zbMath1458.35103arXiv1706.01403OpenAlexW3083256871MaRDI QIDQ5147258

I. P. Naumkin, Flávio Dickstein, Thierry Cazenave, Fred B. Weissler

Publication date: 3 February 2021

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.01403

zbMATH Keywords

inverted profile equation

Mathematics Subject Classification ID

Initial value problems for second-order parabolic equations (35K15) Semilinear parabolic equations (35K58) Self-similar solutions to PDEs (35C06)

Related Items (7)

Fujita type results for a quasilinear parabolic inequality of Hardy-Hénon type with time forcing terms ⋮ Complex valued semi-linear heat equations in super-critical spaces \(E^s_\sigma\) ⋮ Existence of sign-changing solutions for the Hénon type parabolic equation with singular initial data ⋮ Blowup and ill-posedness for the complex, periodic KdV equation ⋮ Existence and blow-up of solutions in Hénon-type heat equation with exponential nonlinearity ⋮ Existence and nonexistence of solutions for the heat equation with a superlinear source term ⋮ Sign-changing solutions of the nonlinear heat equation with persistent singularities

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