LIFE-SPAN OF CLASSICAL SOLUTIONS TO ONE DIMENSIONAL NONLINEAR WAVE EQUATIONS

Citation:

Li Daqian(李大潜),Yu Xin(俞新),Zhou Yi(周忆).LIFE-SPAN OF CLASSICAL SOLUTIONS TO ONE DIMENSIONAL NONLINEAR WAVE EQUATIONS[J].Chinese Annals of Mathematics B,1992,13(3):266~279
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Authors:

Li Daqian(李大潜); Yu Xin(俞新);Zhou Yi(周忆)
Abstract: By means of a simple and direct method,the authors obtain the sharp lower bound of the life-span of classical solutions to the Cauchy problem with small initial data for one dimensional fully nonlinear wave equations $u_{tt}-u_{xx}=F(u,Du,Du_x)$.

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