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)

Megjelent: ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE 0294-1449 1873-1430 37 (5) pp. 1185-1209 2020

SJR Scopus - Analysis: D1

Azonosítók

MTMT: 31715306
DOI: 10.1016/j.anihpc.2020.04.002
WoS: 000561960000005
Scopus: 85083837101

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.

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

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

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