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DECAY RATE FOR DEGENERATE CONVECTION DIFFUSION EQUATIONS IN BOTH ONE AND SEVERAL SPACE DIMENSIONS 被引量:2

DECAY RATE FOR DEGENERATE CONVECTION DIFFUSION EQUATIONS IN BOTH ONE AND SEVERAL SPACE DIMENSIONS
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摘要 We consider degenerate convection-diffusion equations in both one space dimension and several space dimensions. In the first part of this article, we are concerned with the decay rate of solutions of one dimension convection diffusion equation. On the other hand, in the second part of this article, we are concerned with a decay rate of derivatives of solution of convection diffusion equation in several space dimensions. We consider degenerate convection-diffusion equations in both one space dimension and several space dimensions. In the first part of this article, we are concerned with the decay rate of solutions of one dimension convection diffusion equation. On the other hand, in the second part of this article, we are concerned with a decay rate of derivatives of solution of convection diffusion equation in several space dimensions.
出处 《Acta Mathematica Scientia》 SCIE CSCD 2015年第2期281-302,共22页 数学物理学报(B辑英文版)
基金 partially supported by the Natural Science Foundation of China(11271105) a grant from the China Scholarship Council and a Humboldt fellowship of Germany
关键词 Degenerate convection-diffusion equations REGULARITY decay rate Lax-Oleinik type inequality Degenerate convection-diffusion equations regularity decay rate Lax-Oleinik type inequality
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