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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

The filtration equation in a class of functions decreasing at infinity


Authors: D. Eidus and S. Kamin
Journal: Proc. Amer. Math. Soc. 120 (1994), 825-830
MSC: Primary 35K55; Secondary 35K65, 76S05
MathSciNet review: 1169025
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Abstract: We deal with the Cauchy and external boundary problems for the nonlinear filtration equation with variable density. For each density we define a class $ \phi $ of initial functions $ \varphi $, such that for any $ \varphi \in \phi $ the problem is uniquely solvable in some set of functions decreasing at infinity with respect to space variables.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1994-1169025-2
PII: S 0002-9939(1994)1169025-2
Article copyright: © Copyright 1994 American Mathematical Society