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Variational And Potential Methods For A Class Of Linear Hyperbolic Evolutionary Processes (Springer Monographs In Mathematics)
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 inte...
File Size: 1938 KB
Print Length: 148 pages
Publisher: Springer London; 1 edition (March 30, 2006)
Publication Date: March 30, 2006
Sold by: Amazon Digital Services LLC
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Format: PDF ePub djvu ebook
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ral equations by means of suitable potential representations, and the solution of the latter in Sobolev spaces. The analysis, performed in spaces of distributions, is applicable to a wide variety of data with less smoothness than that required in the corresponding classical problems, and is very useful for constructing error estimates in numerical computations. This illustrative model was chosen because of its practical importance and some unusual mathematical features, but the solution technique can easily be adapted to many other hyperbolic systems of partial differential equations arising in continuum mechanics.