Existence and Nonexistence of Interfaces of Weak Solutions for Nonlinear Degenerate Parabolic Systems

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The existence and nonexistence of interfaces of weak solutions for nonlinear degenerate parabolic systems \frac{∂u_i}{∂t} - div (|∇u|^{p-2}∇u_i) = 0, i = 1, 2, …, m with p > 1 are studied in this paper.
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Existence and Nonexistence of Interfaces of Weak Solutions for Nonlinear Degenerate Parabolic Systems. (1996). Journal of Partial Differential Equations, 9(2), 177-185. https://global-sci.com/index.php/jpde/article/view/3824

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