A semilinear heat equation with concave-convex nonlinearity

In this paper, we are interested in the parabolic equation u_t − ∆u = λu^q + u^p in a bounded domain of IR^N, with the Dirichlet boundary condition and the parameters 0 < q < 1 < p and λ > 0. We study the initial value problem and the global behavior of the the positive solutions. We are...

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Bibliographic Details
Main Authors: T. Cazenave, F. Dickstein, M. Escobedo
Format: Article
Language:English
Published: Sapienza Università Editrice 1999-01-01
Series:Rendiconti di Matematica e delle Sue Applicazioni
Subjects:
Online Access:https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/1999(2)/211-242.pdf

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