The Hardy inequality and Nonlinear parabolic equations on Carnot groups

Details The Hardy inequality and Nonlinear parabolic equations on Carnot groups The Hardy inequality and Nonlinear parabolic equations on Carnot groups

2005-04-04

arxiv.org/abs/math/0504057v1

Mathematics

Analysis of PDEs

12 pages

Scientific paper

In this paper we shall investigate the nonexistence of positive solutions for the following nonlinear parabolic partial differential equation:\[ \begin{cases} \frac{\partial u}{\partial t}= \Delta_{\mathbb{G},p}u+V(x)u^{p-1} & \text{in}\quad \Omega \times (0, T), \quad 1

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