A detailed study of two classes of oscillatory global (and blow-up) solutions was began in [20] for the semilinear heat equation in the subcritical Fujita range ut =∆u+|u|p−1u in RN ×R+ for 1<p≤p0 =1+ 2, (0.1) N with bounded integrable initial data u(x, 0) = u0(x). This study is continued and extended here for the 2mth-order heat equation, for m ≥ 2, with non-monotone nonlinearity.
Global Sign-changing Solutions of a Higher Order Semilinear Heat Equation in the Subcritical Fujita Range / Mitidieri, Enzo; Galaktionov, V.; Pohozaev, S. I.. - In: ADVANCED NONLINEAR STUDIES. - ISSN 1536-1365. - STAMPA. - 12:3(2012), pp. 569-596.
Global Sign-changing Solutions of a Higher Order Semilinear Heat Equation in the Subcritical Fujita Range
MITIDIERI, ENZO;
2012-01-01
Abstract
A detailed study of two classes of oscillatory global (and blow-up) solutions was began in [20] for the semilinear heat equation in the subcritical Fujita range ut =∆u+|u|p−1u in RN ×R+ for 1| File | Dimensione | Formato | |
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