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ON THE SINGULARITIES OF SOLUTIONS TO 4-D SEMILINEAR DISPERSIVE WAVE EQUATIONS

ON THE SINGULARITIES OF SOLUTIONS TO 4-D SEMILINEAR DISPERSIVE WAVE EQUATIONS
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摘要 In this note, we are concerned with the global singularity structures of weak solutions to 4 - D semilinear dispersive wave equations whose initial data are chosen to be singular at a single point, Combining Strichartz's inequality with the commutator argument techniques, we show that the weak solutions stay globally conormal if the Cauchy data are conormal In this note, we are concerned with the global singularity structures of weak solutions to 4 - D semilinear dispersive wave equations whose initial data are chosen to be singular at a single point, Combining Strichartz's inequality with the commutator argument techniques, we show that the weak solutions stay globally conormal if the Cauchy data are conormal
出处 《Analysis in Theory and Applications》 2005年第2期176-187,共12页 分析理论与应用(英文刊)
基金 Supported by the National Natural Science Foundation of China the Doctoral Foundation of NEM of China
关键词 Dispersive wave equation tangent vector fields Strichartz's inequality pseudodifferential operator Dispersive wave equation, tangent vector fields, Strichartz's inequality, pseudodifferential operator
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