福州大学学报（自然科学版）2017，Vol.45Issue(3)：312-316,5.DOI:10.7631/issn.1000-2243.2017.03.0312
伪抛物方程组解的全局存在
Global existence of solution to pseudo-parabolic system
摘要
Abstract
This paper deals with the Cauchy problem to nonlinear pseudo-parabolic system ut -Δut =Δu+uαvp, vt -Δvt =Δv+uqvβwhere, q≥0,α,β≥0. we first applied contraction mapping to ob-tain that local solutions are existence. And then we investigate that the solutions are global whileα,β≤1and pq≤(1-α)(1-β) by use upper and lower solutions method.关键词
非线性伪抛物方程组/局部存在/全局存在/柯西问题Key words
nonlinear pseudo-parabolic system/local existence/global existence/Cauchy problem分类
数理科学引用本文复制引用
姜迪彪,曾有栋,魏丹..伪抛物方程组解的全局存在[J].福州大学学报（自然科学版）,2017,45(3):312-316,5.基金项目
国家自然科学基金资助项目(2016J06001) （2016J06001）
