Nonstandard And Improperly Posed Problems (Volume 194) (Mathematics In Science And Engineering, Volume 194)

Nonstandard And Improperly Posed Problems (Volume 194) (Mathematics In Science And Engineering, Volume 194)

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SKU: DADAX0120567458
Brand: Academic Press
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Written by two international experts in the field, this book is the first unified survey of the advances made in the last 15 years on key nonstandard and improperly posed problems for partial differential equations.This reference for mathematicians, scientists, and engineers provides an overview of the methodology typically used to study improperly posed problems. It focuses on structural stabilitythe continuous dependence of solutions on the initial conditions and the modeling equationsand on problems for which data are only prescribed on part of the boundary.The book addresses continuous dependence on initialtime and spatial geometry and on modeling backward and forward in time. It covers nonstandard or noncharacteristic problems, such as the sideways problem for a heat or hyberbolic equation and the Cauchy problem for the Laplace equation and other elliptic equations. The text also presents other relevant improperly posed problems, including the uniqueness and continuous dependence for singular equations, the spatial decay in improperly posed parabolicproblems, the uniqueness for the backward in time NavierStokes equations on an unbounded domain, the improperly posed problems for dusty gases, the linear thermoelasticity, and the overcoming Holder continuity and image restoration. Provides the first unified survey of the advances made in the last 15 years in the field Includes an uptodate compendium of the mathematical literature on these topics

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