The filtration equation in a class of functions decreasing at infinity

Eidus, D.; Kamin, S.

doi:10.1090/S0002-9939-1994-1169025-2

The filtration equation in a class of functions decreasing at infinity
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Proc. Amer. Math. Soc. 120 (1994), 825-830 Request permission

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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The Cauchy problem in a class of growing functions

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