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Blow-Up Solutions and Global Existence for a Kind of Quasilinear Reaction-Diffusion Equations
Page 1 Zeitschrift für Analysis und ihre Anwendungen c European Mathematical Society …

In this paper we consider the Cauchy problem of semilinear parabolic equations with
nonlinear gradient terms a (x)| u| q− 1u|∇ u| p. We prove the existence of global solutions …

In this work, we study the blow-up and global solutions for a quasilinear reaction–diffusion
equation with a gradient term and nonlinear boundary condition: where D⊂ RN is a …

The authors discuss the quasilinear parabolic equation ut=∇⋅(g (u)∇ u)+ h (u,∇ u)+ f (u)
with u|∂ Ω= 0, u (x, 0)= ϕ (x). If f, g and h are polynomials with proper degrees and proper …

GLOBAL AND BLOW-UP SOLUTIONS FOR NONLINEAR PARABOLIC EQUATIONS WITH A
GRADIENT TERM 1. Introduction Consider the following Neuma Page 1 Houston Journal of …

In this paper, we study the initial–boundary value problem for a class of singular parabolic
equations. Under some additional conditions, we prove that there exists a weak solution for …

The author discusses the initial-boundary value problem (ui) t= Δui+ fi (u1,…, um) with ui|∂
Ω= 0 and ui (x, 0)= φi (x), i= 1,…, m, in a bounded domain Ω⊂ R n. Under suitable …

In this paper, we study the global and blow-up solutions of the following nonlinear parabolic
problems with a gradient term under Robin boundary conditions:{(b (u)) t=∇⋅(g (u)∇ u)+ f …

This work deals with positive solutions of the Dirichlet problem for the degenerate equation
ut= upΔu+ uq+ ur|▽ u| 2, p> 0, q> 1, r>–1, in a smoothly bounded domain Ω⊂ ℝn. It …