Variational and Potential Methods for a Class of Linear Hyperbolic Evolutionary Processes
Publication year: 2005
ISBN: 978-1-84628-120-4
Internet Resource: Please Login to download book
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.
Subject: Mathematics and Statistics, Boundary integral equations, Boundary value problem, Distribution, Distributional solutions, Dynamic problems, Elastic plates, Smooth function, Sobolev space, Variational methods, differential equation, partial differential equation
