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Existence and decay rates of smooth solutions for a non-uniformly parabolic equation
Wang, JH ; Zhang, H
2002
关键词GENERALIZED BURGERS-EQUATION CONSERVATION-LAWS GLOBAL EXISTENCE VISCOSITY SYSTEMS
英文摘要We obtain the existence and decay rates of the classical solution to the initial-value problem of a non-uniformly parabolic equation. Our method is to set up two equivalent sequences of the successive approximations. One converges to a weak solution of the initial-value problem; the other shows that the weak solution is the classical solution for t > 0. Moreover, we show how bounds of the derivatives to the classical solution depend explicitly on the interval with compact support in (0, infinity). Then we study decay rates of this classical solution.; Mathematics, Applied; Mathematics; SCI(E); 4; ARTICLE; 1477-1491; 132
语种英语
出处SCI
出版者proceedings of the royal society of edinburgh section a mathematics
内容类型其他
源URL[http://hdl.handle.net/20.500.11897/388646]  
专题数学科学学院
推荐引用方式
GB/T 7714
Wang, JH,Zhang, H. Existence and decay rates of smooth solutions for a non-uniformly parabolic equation. 2002-01-01.
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