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Ladyzenskaja, O.A., Solonnikov, V.A. and Ural’ceva, N.N. (1968) Linear and Quasi-Linear Equations of Parabolic Type. Transactions of the American Mathematical Society, Monographs 23, Providence.

has been cited by the following article:

• TITLE: Spatial Segregation Limit of a Quasilinear Competition-Diffusion System

  AUTHORS: Qunying Zhang, Shan Zhang, Zhigui Lin

  KEYWORDS: Competition-Diffusion System, Quasilinear, Spatial Segregation, Free Boundary Problem

  JOURNAL NAME: Applied Mathematics, Vol.6 No.12, November 11, 2015

  ABSTRACT: The aim of this paper is to investigate a Volterra-Lotka competition model of quasilinear parabolic equations with large interaction. Some existence, uniqueness and convergence results for the system are given. Also investigated is its spatial segregation limit when the interspecific competition rates become large. We show that the limit problem is similar to a free boundary problem.