Regularization of a Nonstandard Cauchy Problem for a Dynamic Lame System
I. E. NiyozovSamarkand State University, 15 Universitetskii blvd., Samarkand, 140104, Republic of Uzbekistan
ABI
Abstract
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.