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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