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Download Variational and Potential Methods for a Class of Linear by Igor Chudinovich PDF

By Igor Chudinovich

The publication provides variational tools mixed with boundary crucial equation concepts in program to a version of dynamic bending of plates with transverse shear deformation. The emphasis is at the rigorous mathematical research of the version, which covers a whole learn of the well-posedness of a few initial-boundary price difficulties, their relief to time-dependent boundary critical equations through appropriate strength representations, and the answer of the latter in Sobolev areas. The research, played in areas of distributions, is appropriate to a large choice of information with much less smoothness than that required within the corresponding classical difficulties, and is particularly priceless for developing mistakes estimates in numerical computations. This illustrative version was once selected as a result of its functional value and a few strange mathematical beneficial properties, however the resolution strategy can simply be tailored to many different hyperbolic platforms of partial differential equations coming up in continuum mechanics.

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Variational and Potential Methods for a Class of Linear Hyperbolic Evolutionary Processes (Springer Monographs in Mathematics) by Igor Chudinovich


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