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math.DS2024
A surprising regularizing effect of the nonlinear semigroup associated to the semilinear heat equation and applications to reaction diffusion systems
Said Kouachi
In this paper we prove that positive weak solutions for quasilinear parabolic equations on bounded domains subject to homogenous Neumann boundary conditions becme classical and glo…
math.DS2016
The Cauchy interlace theorem for symmetrizable matrices
Said Kouachi
Symmetrizable matrices are those which are symmetric when multiplied by a diagonal matrix with positive entries. The Cauchy interlace theorem states that the eigenvalues of a real…
math.DS2015★ 2 cited
Global Existence and Long time dynamics of a four compartment Brusselator Type system
Rana D. Parshad, Said Kouachi, Nitu Kumari
In this work we consider a four compartment Brusselator system. The reaction terms of this system are of non constant sign, thus components of the solution are not bounded apriori,…