吉林大学学报（理学版）2017，Vol.55Issue(5)：1177-1180,4.DOI:10.13413/j.cnki.jdxblxb.2017.05.25
一类具p-Laplace算子和变指数源双曲方程解的爆破
Blow-Up of Solutions to a Class of Hyperbolic Equations with p-Laplace Operator and Variable Exponential Source
摘要
Abstract
We considered the blow-up properties of solutions of initial boundary value problems to a class of hyperbolic equations with p-Laplace operator and variable exponential source and proved the solutions blow-up in finite time when 1＜q-＜q+ ＜np-n+p/n-p(p82),the initial energy was positive and initial value was suitably large with the help of energy functional method,convex method and Sobolev embedding inequalities.关键词
p-Laplace算子/双曲方程/正初始能量/爆破Key words
p-Laplace operator/hyperbolic equation/positive initial energy/blow-up分类
数理科学引用本文复制引用
吴秀兰,刘立洁,孙鹏..一类具p-Laplace算子和变指数源双曲方程解的爆破[J].吉林大学学报（理学版）,2017,55(5):1177-1180,4.基金项目
国家自然科学基金青年基金(批准号:11301211)、吉林省教育厅“十三五”科学技术研究项目(批准号:2016211)和吉林师范大学博士启动基金(批准号:2014008). （批准号:11301211）
