Acta mathematica scientia,Series B ›› 1997, Vol. 17 ›› Issue (1): 91-96.

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H1 SOLUTIONS FOR A CLASS OF SEMILINEAR PARABOLIC SYSTEMS

Yan Guozheng   

  1. 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

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

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