On regularity of solutions of nonlinear parabolic systems
Jindřich Nečas, Vladimír Šverák (1991)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Displaying similar documents to “A maximum principle for nonlinear parabolic equations”
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The paper contains conditions ensuring instantaneous shrinking of the support for solutions to semilinear parabolic equations with compactly supported coefficients of nonlinear terms and reaction-diffusion systems.
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Supersolutions and stabilization of the solutions of the equation∂u/∂t - div(|∇p| ∇u) = h(x,u), Part II.
Abderrahmane El Hachimi, François De Thélin (1991)
Publicacions Matemàtiques
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In this paper we consider a nonlinear parabolic equation of the following type: (P) ∂u/∂t - div(|∇p|p-2 ∇u) = h(x,u) with Dirichlet boundary conditions and initial data in the case when 1 < p < 2. We construct supersolutions of (P), and by use of them, we prove that for tn → +∞, the solution of (P) converges to some solution of the elliptic equation associated with...