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”
On regularity of solutions of nonlinear parabolic systems
The unbounded growth of solutions of linear parabolic differential equations
Piotr Besala, Paul Fife (1966)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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-estimates for nonlinear parabolic equations with natural growth conditions
Vincenzo Vespri (1993)
Rendiconti del Seminario Matematico della Università di Padova
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Instantaneous shrinking of the support for solutions to certain parabolic equations and systems
Anatolii S. Kalashnikov (1997)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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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.
Explicit exponential decay bounds in quasilinear parabolic problems.
Philippin, G.A., Vernier Piro, S. (1999)
Journal of Inequalities and Applications [electronic only]
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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...