New Fujita type results for quasilinear parabolic differential inequalities with gradient dissipation terms

• Published in: AIMS mathematics Vol. 6; no. 10; pp. 11482 - 11493
• Main Authors: Wang, Xiaomin, Fang, Zhong Bo
• Format: Journal Article
• Language: English
• Published: AIMS Press 01.01.2021
• Subjects: global solutions; nonexistence of solutions; parabolic differential inequalities; second critical exponent

This paper deals with the new Fujita type results for Cauchy problem of a quasilinear parabolic differential inequality with both a source term and a gradient dissipation term. Specially, nonnegative weights may be singular or degenerate. Under the assumption of slow decay on initial data, we prove...