数学物理学报(英文版) ›› 1997, Vol. 17 ›› Issue (1): 91-96.
严国政
Yan Guozheng
摘要: In this paper, we consider the Cauchy problem or a class of semilinear parabolic system. Firstly, we obtain the local existence of solutions of (1.1),(1.2) in H1 (R1), and then we prove the global existence of the solutions in H1 through a prioriestimate.