DECAY OF GLOBAL SOLUTIONS OF TWO NONLINEAR EVOLUTION EQUATIONS

作     者：GUO BOLING ZHANG LINGHAI(Institute of Applied Physics and Computational Mathematics, Beijing 100088, China) 

作者机构：Institute of Applied Physics and Computational Mathematics Beijing China 

出 版 物：《Acta Mathematicae Applicatae Sinica》 (应用数学学报（英文版）)

年 卷 期：1997年第13卷第1期

页      面：23-32页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：Decay estimates nonlinear evolution equations 

摘      要：We study the decay of solutions of two nonlinear evolution equations: the Benjamin-OnoBurgers and the Schrodinger-Burgers equations. We establish sharp rates of L2 decay of global solutions to these problems, with initial data Uo(x)∈L1∩L2. The decay results of the solutions follow from the a priori L2 integral estimstes and the Fourier transform. The standard argument relies on a technique that involves the splitting of the phase space into two time-dependent subdomains.