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The Porous Medium EquationMathematical Theory$
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Juan Luis Vazquez

Print publication date: 2006

Print ISBN-13: 9780198569039

Published to Oxford Scholarship Online: September 2007

DOI: 10.1093/acprof:oso/9780198569039.001.0001

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PROPAGATION PROPERTIES

PROPAGATION PROPERTIES

Chapter:
(p.332) 14 PROPAGATION PROPERTIES
Source:
The Porous Medium Equation
Author(s):

Juan Luis Vázquez

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198569039.003.0014

This chapter introduces a study of the properties of the support and the free boundary of the solution in a several dimensional setting. It discusses in detail the property of finite propagation and its consequences for the PME. Attention is focused on non-negative solutions.

Keywords:   propagation properties, waiting times, Cauchy problem, heat equation, whole space, free boundary

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