The fundamental analysis method for the blow-up of wave equations in first quadrant
作者: Wei Han
作者单位: 1Department of Mathematics, North University of China, Taiyuan, Shanxi 030051, PR China
刊名: Journal of Mathematical Analysis and Applications, 2017, Vol.456 (1), pp.525-542
来源数据库: Elsevier Journal
DOI: 10.1016/j.jmaa.2017.07.004
关键词: Wave equationsBlow upLife-spanInitial-boundary value problem
原始语种摘要: Abstract(#br)This paper is devoted to prove the sharpness on the lower bound of the life-span of classical solutions to the initial-boundary value problem for one dimensional general quasilinear wave equations in the general case obtained in [10]. What's more, the originality of the paper is the fundamental analysis method of the blow-up and lifespan property, that is to say, instead of differential inequality and the pure mathematical analysis, this is the first attempt to this direction. The highlight of the paper is that we will use the most fundamental D'Alembert's formula of the solutions of wave equation, and the corresponding actual physical meaning, by means of the scaling argument, dilation translation, translation transformation, rotation transformation, we connect our problem...
全文获取路径: Elsevier  (合作)

  • fundamental 基本的
  • analysis 分析
  • sharpness 敏锐
  • paper 
  • scaling 按比例缩小
  • problem 题目
  • rotation 旋转
  • quadrant 象限
  • transformation 变换
  • lifespan 使用期限