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Zeitschrift für Analysis und ihre Anwendungen


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Volume 2, Issue 4, 1983, pp. 329–334
DOI: 10.4171/ZAA/70

Published online: 1983-08-31

Properties of solutions unbounded in time of diffusion equations (in Russian)

A.P. Mikhailov[1]

(1) Keldysh Institute of Applied Mathematics, Moscow, Russian Federation

We survey results on unbounded solutions of quasilinear parabolic equations, obtained by the team directed by A. A. Samarskij and S. P. Kurdjumov. Considered are similarity solutions and comparison theorems. The investigated solutions exhibit a number of interesting and, for linear diffusion equations, unusual properties.

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Mikhailov A.P.: Properties of solutions unbounded in time of diffusion equations (in Russian). Z. Anal. Anwend. 2 (1983), 329-334. doi: 10.4171/ZAA/70