The pointwise estimate of solutions to the parabolic conservation law in multi-dimensions |
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| Authors: | Fengbai Li Weike Wang |
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| Affiliation: | 1. Department of Applied Mathematics, Shanghai University of Finance and Economics, 777 Guo Ding Road, Shanghai, 200433, People’s Republic of China
2. Department of Mathematics, Shanghai Jiao Tong University, 800 Dong Chuan Road, Shanghai, 200240, People’s Republic of China
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| Abstract: | In this paper we consider the parabolic conservation law with large initial data which has a big perturbation. Using the method of Green function, we first obtain the decay rates of the derivatives of the solutions in L 2 and L ∞ spaces, and then the pointwise estimate of the solutions. |
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