Critical dimension for a system of partial differential equations with time‐dependent generators期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Critical dimension for a system of partial differential equations with time‐dependent generators

Authors:	Amanda del Carmen Andrade‐González José Villa‐Morales

Affiliation:	Universidad Autónoma de Aguascalientes, Departamento de Matemáticas y Física Aguascalientes, Aguascalientes, Mexico

Abstract:	We give sufficient conditions for blows up of positive mild solutions for the weakly coupled system: where $urn:x-wiley:mma:media:mma3238:mma3238-math-0002$ is a fractional Laplacian, 0 < α_i≤2,β_i≥1,ρ_i>0,σ_i>?1 are constants, and the initial condition ?_i are positive, bounded and integrable functions. We also discuss the critical dimension. Copyright © 2014 John Wiley & Sons, Ltd.

Keywords:	weakly coupled system blow up of mild solutions time‐dependent generators