Two variational inequality problems for the wave equation in a half-space
A simplified formulation for the dynamic crack and punch problems of the theory of elasticity is considered. This leads to the study of a hyperbolic variational inequality for the wave equation. The Fourier-Laplace transform in time and the Fourier transform in space reduce the original problem to a variational inequality for a pseudodifferential equation which is treated by elliptic regularization. Regular properties of solutions are studied.
scientific article; zbMATH DE number 1286160
scientific article