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Smoothing and Decay Estimates for Nonlinear Diffusion EquationsEquations of Porous Medium Type$
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Juan Luis Vázquez

Print publication date: 2006

Print ISBN-13: 9780199202973

Published to Oxford Scholarship Online: September 2007

DOI: 10.1093/acprof:oso/9780199202973.001.0001

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Evolution equations of the p-Laplacian type

Evolution equations of the p-Laplacian type

(p.189) 11 Evolution equations of the p-Laplacian type
Smoothing and Decay Estimates for Nonlinear Diffusion Equations

Juan Luis Vázquez

Oxford University Press

This chapter presents the application of the foregoing ideas to the p-Laplacian evolution equation and the doubly nonlinear evolution equation. Topics covered include the doubly linear diffusion equation, symmetrization and mass comparison, source-type solutions, doubly nonlinear diffusion equation, and smoothing estimates, best constants, and decay rates for PLE and DNLE.

Keywords:   Laplacian evolution equation, doubly nonlinear evolution equation, source-type solutions, smoothing effects

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