Moscow Mathematical Journal

Volume 23, Issue 2, April–June 2023 pp. 243–270.

Fujita Type Results for a Parabolic Differential Inequality with Weighted Nonlocal Source

Authors: Yuepeng Li (1) and Zhong Bo Fang (1)
Author institution:(1) School of Mathematical Sciences, Ocean University of China, Qingdao 266100, P.R. China

Summary:

In this paper, we establish some new Fujita type theorems for a quasilinear parabolic differential inequality with weighted nonlocal source in the whole space. The proofs are based on the precise selections of test functions. Our main results cover all the Fujita type critical exponents mentioned in previous articles.

2020 Math. Subj. Class. 35K59, 35A23, 35B33, 35B53.

Keywords: Parabolic differential inequality, nonlocal source, nonexistence.

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