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

Kazuhiro Ishige, Tatsuki Kawakami, Shinya Okabe

研究成果: Article査読

抄録

We establish the existence of solutions of the Cauchy problem for a higher-order semilinear parabolic equation by introducing a new majorizing kernel. We also study necessary conditions on the initial data for the existence of local-in-time solutions and identify the strongest singularity of the initial data for the solvability of the Cauchy problem.

本文言語English
ページ(範囲)1185-1209
ページ数25
ジャーナルAnnales de l'Institut Henri Poincare (C) Analyse Non Lineaire
37
5
DOI
出版ステータスPublished - 2020 9 1

ASJC Scopus subject areas

  • Analysis
  • Mathematical Physics
  • Applied Mathematics

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