AUTHORS: Huashui Zhan

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ABSTRACT: A class of equations ut − div~a(u, ∇u) = f(x, t),(x, t) ∈ ST = R N × (0, T), is considered. These equations arise in the study of turbulent filtration of gas or liquid through porous media. If the initial value is a σ-finite measure, the existence and and no existence of the solutions of the equation are researched

KEYWORDS: Nonlinear parabolic equation, Cauchy problem, Existence,σ-Finite measure

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