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SMOOTHNESS OF THE SOLUTIONS OF THE HYPERBOLIC EQUATIONS WITH SINGULAR COEFFICIENTS

Journal: The Way of Science (Vol.1, No. 4)

Publication Date:

Authors : ;

Page : 22-26

Keywords : Cauchy problem; singular coefficients; smoothness of the solutions; Lipschitz continuity.;

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Abstract

Cauchy problem for the abstract hyperbolic equations with quasielliptic part when some coefficients are singular, and some coefficients are smooth functions is discussed in the work. The energy estimation for solutions is received. In the power inequality of loss of smoothness of solutions can occur with variables.

Last modified: 2014-07-08 18:07:32