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We consider the Cauchy problem for dynamic Lame systems in the cylinder GT = D × (0,T) constructed over a domain D in a three-dimensional space, where the initial data are given in some strip in the lateral surface of the cylinder. The strip has the form S × (0,T), where S is an open subset of the boundary surface of the domain D. This problem is ill-posed. Under certain requirements to the configuration of S, we derive an explicit formula for solutions to this problem.
相似文献2.
In this paper we consider the problem of analytical continuation of the solution to the system of equations of the moment theory of elasticity in spatial many-dimensional domain. We give an explicit formula of restoring of solution inside the domain by values of sought-for solution and values of strains on part of the boundary of this domain. 相似文献
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