Variational and Potential Methods for a Class of Linear Hyperbolic Evolutionary Processes

Variational and Potential Methods for a Class of Linear Hyperbolic Evolutionary Processes By Igor Chudinovich
English | PDF | 2005 | 153 Pages | ISBN : 1852338881 | 1.38 MB

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.

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