Variational and potential methods for a class of linear hyperbolic evolutionary processes by Chudinovich, Igor, Constanda, C. (Christian) instant download

Variational and potential methods for a class of linear hyperbolic evolutionary processes by Chudinovich, Igor, Constanda, C. (Christian) instant download

1 online resource (xii, 148 pages), \"The book presents variational methods combined with boundary integral equation techniques in application to a model of dynamic bending of plates with transverse shear deformation. The emphasis is on the rigorous mathematical investigation of the model, which covers a complete study of the well-posedness of a number of initial-boundary value problems, their reduction to time-dependent, boundary integral equations by means of suitable potential representations, and the solution of the latter in Sobolev spaces.\"--Jacket, Includes bibliographical references (page 145) and index, Print version record, Formulation of the Problems and their Nonstationary Boundary Integral Equations -- Problems with Dirichlet Boundary Conditions -- Problems with Neumann Boundary Conditions -- Boundary Integral Equations for Problems with Dirichlet and Neumann Boundary Conditions -- Transmission Problems and Multiply Connected Plates -- Plate Weakened by a Crack -- Initial-Boundary Value Problems with Other Types of Boundary Conditions -- Plate on a Generalized Elastic Foundation -- Problems with Nonhomogeneous Equations and Nonhomogeneous Initial Conditions -- Appendix A: The Fourier and Laplace Transforms of Distributions -- References -- Index