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A priori and universal estimates for global solutions of superlinear degenerate parabolic equations

Annali di Matematica Pura ed Applicata (2002) 181(4) 427-436
DOI: 10.1007/s102310100047
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Abstract

We prove an a priori estimate and a universal bound for any global solution of the nonlinear degenerate reaction-diffusion equation ut = Δum + up in a bounded domain with zero Dirichlet boundary conditions.

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Souplet, P. (2002). A priori and universal estimates for global solutions of superlinear degenerate parabolic equations. Annali Di Matematica Pura Ed Applicata, 181(4), 427–436. https://doi.org/10.1007/s102310100047

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