Optimal time decay of the quantum Landau equation in the whole space

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:252

Article

Liu, Shuangqian¹  Ma, Xuan²  Yu, Hongjun³ 

[1] Jinan Univ, Dept Math, Guangzhou 510632, Guangdong, Peoples R China

[2] Guangdong Inst Educ, Dept Math, Guangzhou 510303, Guangdong, Peoples R China

[3] S China Normal Univ, Sch Math, Guangzhou 510631, Guangdong, Peoples R China

关键词: Quantum Landau equation;    Optimal time decay;    Compensating function;    Nonlinear energy method;   

DOI  :  10.1016/j.jde.2012.02.003

来源: Elsevier

【 摘 要 】

We are concerned with the Cauchy problem of the quantum Landau equation in the whole space. The existence of local in time nearby quantum Maxwellian solutions is proved by the iteration method and generalized maximum principle. Based on Kawashima's compensating function and nonlinear energy estimates, the global existence and the optimal time decay rate of those solutions are obtained under some conditions on initial data. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

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