H1 SOLUTIONS FOR A CLASS OF SEMILINEAR PARABOLIC SYSTEMS

数学物理学报(英文版) ›› 1997, Vol. 17 ›› Issue (1): 91-96.

H¹ SOLUTIONS FOR A CLASS OF SEMILINEAR PARABOLIC SYSTEMS

严国政

Young Scientist Laboratory of Math. Phys., Inst. of Math. Sci., Academia Sinica, Wuhan 430071, China

收稿日期:1995-05-22 修回日期:1995-09-20 出版日期:1997-03-25 发布日期:1997-03-25

H¹ SOLUTIONS FOR A CLASS OF SEMILINEAR PARABOLIC SYSTEMS

Yan Guozheng

Young Scientist Laboratory of Math. Phys., Inst. of Math. Sci., Academia Sinica, Wuhan 430071, China

Received:1995-05-22 Revised:1995-09-20 Online:1997-03-25 Published:1997-03-25

摘要/Abstract

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.

关键词: parabolic system, a priori estimate, global solution

Abstract: 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.

Key words: parabolic system, a priori estimate, global solution

严国政. H¹ SOLUTIONS FOR A CLASS OF SEMILINEAR PARABOLIC SYSTEMS[J]. 数学物理学报(英文版), 1997, 17(1): 91-96.

Yan Guozheng. H¹ SOLUTIONS FOR A CLASS OF SEMILINEAR PARABOLIC SYSTEMS[J]. Acta mathematica scientia,Series B, 1997, 17(1): 91-96.

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H¹ SOLUTIONS FOR A CLASS OF SEMILINEAR PARABOLIC SYSTEMS

H¹ SOLUTIONS FOR A CLASS OF SEMILINEAR PARABOLIC SYSTEMS

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