Acomplete characterization of Fujita's blow-up solutions for discrete p-Laplacian parabolic equations under the mixed boundary conditions on networks
- 주제(키워드) 도움말 Parabolic equation , p-Laplacian , Fujita's blow-up , Critical set
- 발행기관 ACADEMIC PRESS INC ELSEVIER SCIENCE
- 발행년도 2021
- 총서유형 Journal
- 본문언어 영어
초록/요약 도움말
In this paper, we study long-time behaviors of solutions to the discrete p-Laplacian parabolic equations with time-dependent reactions u(t) = Delta(p,omega)u+psi(t)vertical bar u vertical bar(q-1)u with nontrivial and nonnegative initial data, under the mixed boundary conditions, where p >= 2, q > 0, and psi is a positive continuous function. The goal of this paper is to characterize completely the parameters p, q, and function psi to see when the solutions are Fujita's blow-up solutions, general blow-up solutions, or global solutions. (C) 2020 Elsevier Inc. All rights reserved.
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