Optimal time decay of the quantum Landau equation in the whole space |
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| Authors: | Shuangqian Liu Xuan Ma Hongjun Yu |
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| Institution: | 1. Department of Mathematics, Jinan University, Guangzhou 510632, China;2. Department of Mathematics, Guangdong Institute of Education, Guangzhou 510303, China;3. School of Mathematics, South China Normal University, Guangzhou 510631, China |
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| Abstract: | 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. |
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