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The preventive effect of the convection and of the diffusion in the blow-up phenomenon for parabolic equations. (English) Zbl 1060.35047

Summary: The goal of this paper is to investigate the role of the gradient term and of the diffusion coefficient in the preventing of the blow-up of the solution for semilinear and quasilinear parabolic problems.

MSC:

35K20 Initial-boundary value problems for second-order parabolic equations
35B45 A priori estimates in context of PDEs
35K55 Nonlinear parabolic equations
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References:

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