Non-Standard and Improperly Posed Problems (Mathematics in Science and Engineering)
Editorial Reviews
Book Description
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 non-standard 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 stability--the continuous dependence of solutions on the initial conditions and the modeling equations--and on problems for which data are only prescribed on part of the boundary.
The book addresses continuous dependence on initial-time and spatial geometry and on modeling backward and forward in time. It covers non-standard or non-characteristic 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 Navier-Stokes equations on an unbounded domain, the improperly posed problems for dusty gases, the linear thermoelasticity, and the overcoming Holder continuity and image restoration.
Key Features
* Provides the first unified survey of the advances made in the last 15 years in the field
* Includes an up-to-date compendium of the mathematical literature on these topics
Book Info
Surveys some of the recent literature on ill posed problems and examines new directions & applications in the field. Focuses on continuous independence solutions in spatial and initial geometry & continuous independence on modeling questions.
Non-Standard and Improperly Posed Problems (Mathematics in Science and Engineering),K. A. Ames,Brian Straughan,Academic Press,0120567458,Applied,Differential Equations,Differential Equations - Partial Differential Equations,Differential equations, Partia,Differential equations, Partial,Improperly posed problems,Mathematical Physics,Mathematics,Partial Differential Equations,Science/Mathematics,Mathematics for scientists & engineers,Technology / Engineering / Mechanical
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