Abstract
In this paper we give some Fujita type results for strongly p-coercive quasilinear parabolic differential inequalities with both a diffusion term and a dissipative term, whose prototype is given by ut−Δpu≥a(x)uq−b(x)um|∇u|s in RN×R+, u≥0, u(x,0)=u0(x)≥0 in RN, where p>1, q>0, 0≤m<q, 0<s≤p(q−m)/(q+1) and a,b nonnegative weights which could be singular or degenerate. We prove the existence of Fujita type exponents qF, such that nonexistence of solutions for the inequality occurs when q<qF.
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