Existence and nonexistence of global solutions of higher-order parabolic problems with slow decay initial data

Abstract

Weinberger [1]. For a reference of the extensive literature on the extension of the classicalpaper by Fujita in several directions, we refer the reader to the survey papers by Levine[10] and Deng and Levine [2], and to the monograph by Mitidieri and Pohozaev [11].The purpose of this paper is to study the problem of the existence and of the nonex-istence of global solutions for problem (1)–(2) for initial data