变指数正初始能量伪抛物型方程解的非整体存在性

IF 1 4区工程技术 Q4 MECHANICS

Comptes Rendus Mecanique Pub Date : 2019-10-01 DOI:10.1016/j.crme.2019.09.003

Menglan Liao

引用次数: 18

摘要

在Dirichlet边值条件下，研究了一类含变指数的伪抛物方程。证明了当初始能量为正时，解在时间上不是全局的。这一结果扩展并改进了Di等人(2017)最近获得的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Non-global existence of solutions to pseudo-parabolic equations with variable exponents and positive initial energy

This paper deals with a pseudo-parabolic equation involving variable exponents under Dirichlet boundary value condition. The author proves that the solution is not global in time when the initial energy is positive. This result extends and improves a recent result obtained by Di et al. (2017) [1].

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Comptes Rendus Mecanique 物理-力学

CiteScore

1.40

自引率

0.00%

发文量

审稿时长

12 months

期刊介绍： The Comptes rendus - Mécanique cover all fields of the discipline: Logic, Combinatorics, Number Theory, Group Theory, Mathematical Analysis, (Partial) Differential Equations, Geometry, Topology, Dynamical systems, Mathematical Physics, Mathematical Problems in Mechanics, Signal Theory, Mathematical Economics, … The journal publishes original and high-quality research articles. These can be in either in English or in French, with an abstract in both languages. An abridged version of the main text in the second language may also be included.