Unbounded solutions of the Cauchy problem for doubly nonlinear degenerate parabolic equations

A. S. Kalashnikov

M. V. Lomonosov Moscow State University

Abstract: We prove several theorems on the global solvability of the Cauchy problem with initial data increasing at infinity for one-dimensional second-order implicitly degenerate parabolic equations that contain certain powers of the unknown and of its derivative with respect to the spatial argument.

UDC: 517.956

Received: 01.06.1996

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