吉林大学学报(理学版)2019,Vol.57Issue(3):567-570,4.DOI:10.13413/j.cnki.jdxblxb.2018319
一类具超临界源非线性双曲方程解的爆破时间下界估计
LowerBoundEstimateofBlow-UpTimeforSolutionsto NonlinearHyperbolicEquationswithSupercriticalSources
摘要
Abstract
Byconstructinganewcontrolfunction withsmalldissipativeterm,usingenergyestimate inequalitiesand inverse H?lderinequality,the first order nonlinear differentialinequality was established about the Lp nor m of the solutions of a class of nonlinear hyperbolic equations with supercriticalsourceterms,andtheaccuratelowerboundestimateofblow-uptimeforthesolutions wasobtainedbydiscussingthepropertiesofdifferentialinequalities.关键词
双曲型方程/能量估计/下界估计/爆破时间Key words
hyperbolicequation/energyestimate/lowerboundestimate/blow-uptime分类
数理科学引用本文复制引用
王雪,郭悦,祖阁..一类具超临界源非线性双曲方程解的爆破时间下界估计[J].吉林大学学报(理学版),2019,57(3):567-570,4.基金项目
国家自然科学基金(批准号:J13100220). (批准号:J13100220)