Results 91 to 100 of about 2,797,632 (233)

Nonuniqueness of solutions of initial-value problems for parabolic p-Laplacian

open access: yesElectronic Journal of Differential Equations, 2015
We construct a positive solution to a quasilinear parabolic problem in a bounded spatial domain with the p-Laplacian and a nonsmooth reaction function. We obtain nonuniqueness for zero initial data.
Jiri Benedikt   +4 more
doaj  

Blowup and existence of global solutions to nonlinear parabolic equations with degenerate diffusion

open access: yesElectronic Journal of Differential Equations, 2013
In this article, we consider the degenerate parabolic equation $$ u_t-\hbox{div}(|\nabla u|^{p-2}\nabla u) =\lambda u^m+\mu|\nabla u|^q $$ on a smoothly bounded domain $\Omega\subseteq\mathbb{R}^N\; (N\geq2)$, with homogeneous Dirichlet boundary ...
Zhengce Zhang, Yan Li
doaj  

Comparison Principle for Weakly Coupled Cooperative Parabolic Systems with Delays

open access: yesMathematics
In this article, the validity of the comparison principle (CP) for weakly coupled quasi-linear cooperative systems with delays is proven. This is a powerful tool for studying the qualitative properties of the solutions. The CP is crucial in the proofs of
Georgi Boyadzhiev
doaj   +1 more source

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