Asymptotic L1-decay of solutions of the porous medium equation to self-similarity

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• 文献种类: Journal Article
• 期刊名称: Indiana University Mathematics Journal
• 期卷页: 2000年  第49卷 第1期 113-142页
• 出版社: Citeseer

学科领域 自然科学 » 数学

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For the porous medium equation , the self-similar decay solution can be obtained from the stationary solution of the transformed equation . Using the entropy and entropy production , we can prove: Exponential convergence of the relative entropy and entropy production Logarithmic Sobolev type inequalities Generalized Csiszar-Kullback inequality