Abstract.
We prove an a priori estimate and a universal bound for any global solution of the nonlinear degenerate reaction-diffusion equation u t =Δu m+u p in a bounded domain with zero Dirichlet boundary conditions.
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Received: October 1, 2001¶Published online: July 9, 2002
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Souplet, P. A priori and universal estimates for global solutions of superlinear degenerate parabolic equations. Ann. Mat. Pura Appl. IV. Ser. 181, 427–436 (2002). https://doi.org/10.1007/s102310100047
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DOI: https://doi.org/10.1007/s102310100047