Solutions of anisotropic parabolic equations with double non-linearity in unbounded domains

This work is devoted to some class of parabolic equations of high order with double nonlinearity which can be represented by a model equation ∂∂t(|u|k−2u)=∑α=1n(−1)mα−1∂mα∂xmαα[∣∣∣∂mαu∂xmαα∣∣∣pα−2∂mαu∂xmαα],m1,…,mn∈N,pn≥…≥p1>k,k>1. For the solution of the first mixed problem in a cylindric...

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Bibliographic Details
Main Authors: A. A. Leont'ev, L. M. Kozhevnikova
Format: Article
Language:English
Published: Samara State Technical University 2013-03-01
Series:Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
Online Access:http://mi.mathnet.ru/eng/vsgtu1186