半线性弹性动力学方程组余法奇性传播

Abstract

Abstract:

The propagation of initial singularities for a semilinear elastic dynamic system is discussed. First, construct conormal distribution spaces for the system and discuss its character. Then study decomposition, as Stokes-Helmholtz decomposition in elastodynamics, of functions in the spaces. Lastly, prove, if initial dates are
bounded and have conormal singularities in zeros, then initial problems have bounded solutions with conormal
singularities only in two characteristic surfaces of the system, and have higher regularities.

Key words: Semilinear elastic dynamical system, Propagation of singularity, Conormal distribution space, Decomposition, Vector field, Pseudo-differential operator

CLC Number:

35G25

LEI Yuan-Ming, LIU Zi-Shan. Propagation of Conormal Singularities for Semilinear Elastic Dynamical System[J].Acta mathematica scientia,Series A, 2009, 29(6): 1743-1749.

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Propagation of Conormal Singularities for Semilinear Elastic Dynamical System

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