On the Cauchy problem for certain system of semilinear parabolic equations

被引：2

作者：

Jian, HY ^{[1
]}

Chen, DG ^{[1
]}

机构：

[1] Tsing Hua Univ, Dept Appl Math, Beijing 100084, Peoples R China

来源：

ACTA MATHEMATICA SINICA-NEW SERIES | 1998年 / 14卷 / 01期

关键词：

system of parabolic equations; nonlinear; global existence; sectorial operator; a priori estimate; fundamental solution;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we use the-abstract theory of semilinear parabolic equations and a priori estimate techniques to prove the global existence and uniqueness of smooth solutions to the Cauchy problem for the following system gf parabolic equations psi(t) = -(sigma-alpha)psi - sigma theta(x) + alpha psi(xx), theta(t) = -(1 - beta)theta + nu psi(x) + (psi theta)(x) + beta theta(xx).

引用

页码：27 / 34

页数：8