FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1998, VOLUME 4, NUMBER 2, PAGES 543-557

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

A. S. Kalashnikov

Abstract

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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.

All articles are published in Russian.

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Last modified: June 17, 1998