摘要
作者研究具有齐次Dirichlet边值的半线性抛物系统ut=Δu+up1vq1,vt=Δv+up2vq2解的存在性和爆破条件.证明了如果p1>1或者q2>1或者p2q1>(1-p1)(1-q2),那么对于系统的非负解,整体解和有限时刻爆破解存在,结论与初值和区域的大小有关.
The authors deal with the conditions that ensure the existence and blowup of the solutions for the semilinear parabolic system ut=Δu+up1vq1,vt=Δv+up2vq2 with homogeneous Dirichlet boundary data.They will prove that if p1>1 or q2>1 or p2q1>(1-p1)(1-q2), then both global existence and finite time blowup coexist for nonnegative solutions. The results are related to the magnitude of the initial data and the domain Ω.
出处
《四川大学学报（自然科学版）》
CAS
CSCD
北大核心
2003年第3期434-441,共8页
Journal of Sichuan University(Natural Science Edition)
基金
ExcellentYouthTeacherFoundation
ReturnedOverseasScholarFoundationofEducationMinistryofChina
NationalScienceFoundationofChina.
关键词
整体存在
爆破
非线性
反应扩散系统
global existence
blow-up
nonlinear
reaction-diffusion system
