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The Cauchy Problem for Semilinear Hyperbolic Equations with Cross Discontinuous Data

The Cauchy Problem for Semilinear Hyperbolic Equations with Cross Discontinuous Data
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摘要 This paper is devoted to study Cauchy problems of multidimensional semilinear strictly hyperbolic equations of second order with strongly singular initial data,where the derivatives of the initial data have discontinuity on two smooth curves transversally intersecting each other.The existence of the solution is proved,meanwhile,it is precisely discribed the flowery structure of the singularity of the solution. This paper is devoted to study Cauchy problems of multidimensional semilinear strictly hyperbolic equations of second order with strongly singular initial data,where the derivatives of the initial data have discontinuity on two smooth curves transversally intersecting each other.The existence of the solution is proved,meanwhile,it is precisely discribed the flowery structure of the singularity of the solution.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 1995年第4期351-364,共14页 数学学报(英文版)
关键词 Hyperbolic equation Cauchy problem Singularity propagation Conormal regularity Hyperbolic equation Cauchy problem Singularity propagation Conormal regularity
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