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

Ishige, Kazuhiro ✉; Kawakami, Tatsuki; Okabe, Shinya

Angol nyelvű Tudományos Szakcikk (Folyóiratcikk)
  • SJR Scopus - Analysis: D1
Azonosítók
Szakterületek:
    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. (C) 2020 Elsevier Masson SAS. All rights reserved.
    Hivatkozás stílusok: IEEEACMAPAChicagoHarvardCSLMásolásNyomtatás
    2021-03-08 21:15