Existence of solutions for a higher-order semilinear parabolic equation with singular initial data

DOI10.1016/j.anihpc.2020.04.002zbMath1454.35222arXiv1909.05492OpenAlexW3018421395MaRDI QIDQ2214926

Kazuhiro Ishige, Shinya Okabe, Tatsuki Kawakami

Publication date: 10 December 2020

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.05492

zbMATH Keywords

majorizing kernelstrongest possible singularity

Mathematics Subject Classification ID

Initial value problems for higher-order parabolic equations (35K30) Semilinear parabolic equations (35K58)

Related Items

Optimal singularities of initial functions for solvability of a semilinear parabolic system ⋮ Existence of solutions to nonlinear parabolic equations via majorant integral kernel ⋮ Solvability of a semilinear heat equation on Riemannian manifolds ⋮ Existence of solutions to fractional semilinear parabolic equations in Besov-Morrey spaces ⋮ Initial traces and solvability for a semilinear heat equation on a half space of ℝ^{ℕ} ⋮ Optimal singularities of initial data for solvability of the Hardy parabolic equation ⋮ Strong solutions of forward-backward stochastic differential equations with measurable coefficients ⋮ Solvability of superlinear fractional parabolic equations

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