Existence and decay rates of solutions to the generalized Burgers equation

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:284

Article

Wang, JH ; Zhang, H

关键词: generalized Burgers equation;    existence;    uniqueness;    classical solutions;    decay rates;   

DOI  :  10.1016/S0022-247X(03)00336-6

来源: Elsevier

【 摘 要 】

In this paper we study the generalized Burgers equation u(t) + (u(2)/2)(x) = f (t)u(xx), where f (t) > 0 for t > 0. We show the existence and uniqueness of classical solutions to the initial value problem of the generalized Burgers equation with rough initial data belonging to L-infinity (R), as well it is obtained the decay rates of u in L-p norm are algebra order for p is an element of [1, infinity[. (C) 2003 Elsevier Inc. All rights reserved.

【 授权许可】

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