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

DOI:
https://doi.org/10.1090/S0002-9939-1994-1169025-2

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 of initial functions , such that for any the problem is uniquely solvable in some set of functions decreasing at infinity with respect to space variables.

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DOI:
https://doi.org/10.1090/S0002-9939-1994-1169025-2

Article copyright:
© Copyright 1994
American Mathematical Society