非线性Sobolev-Galpern型方程解的Blow-up性质

数学季刊 ›› 2009, Vol. 24 ›› Issue (3): 432-438.

非线性Sobolev-Galpern型方程解的Blow-up性质

ZHANG En-biao, JIANG Cheng-shun

Institute of Electronic Technology, University of Information Engineering

收稿日期:2006-12-01 出版日期:2009-09-30 发布日期:2023-06-30
作者简介: ZHENG En-biao(1980- ), male, native of Fengqiu, Henan, a lecturer of Information Engineering, M.S.D., engages in information security.
基金资助:

Blow-up of Solution for the Nonlinear Sobolev-Galpern Equation

Institute of Electronic Technology, University of Information Engineering

Received:2006-12-01 Online:2009-09-30 Published:2023-06-30
About author: ZHENG En-biao(1980- ), male, native of Fengqiu, Henan, a lecturer of Information Engineering, M.S.D., engages in information security.

摘要/Abstract

摘要： In this paper, the initial boundary value problems of the nonlinear Sobolev-Galpern equation are studied. The existence, uniqueness of local solution for the problem are obtained by means of a special Green’s function and the contraction mapping principle. Finally, the blow-up of solution in finite time under some assumed conditions is proved with the aid of Jensen’s inequality.

关键词: nonlinear Sobolev-Galpern equations, Green’s function, blow-up, Jensen’s inequality

Abstract: In this paper, the initial boundary value problems of the nonlinear Sobolev-Galpern equation are studied. The existence, uniqueness of local solution for the problem are obtained by means of a special Green’s function and the contraction mapping principle. Finally, the blow-up of solution in finite time under some assumed conditions is proved with the aid of Jensen’s inequality.

Key words: nonlinear Sobolev-Galpern equations, Green’s function, blow-up, Jensen’s inequality

中图分类号:

O175.26

张恩彪, 江成顺. 非线性Sobolev-Galpern型方程解的Blow-up性质[J]. 数学季刊, 2009, 24(3): 432-438.

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