| Description |
1 online resource (ix, 303 pages) : illustrations |
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text txt rdacontent |
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computer c rdamedia |
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online resource cr rdacarrier |
| Series |
Mathematics in science and engineering series ; v. 194 |
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Mathematics in science and engineering ; v. 194.
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| Summary |
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. |
| Contents |
Introduction. Continuous Dependence on the Geometry. Continuous Dependence on Modeling Backward in Time. Continuous Dependence on Modeling Forward in Time. Non-Standard and Non-Characteristic Problems. Some Further Improperly Posed Problems. Bibliography. Index. |
| Bibliography |
Includes bibliographical references (pages 284-300) and index. |
| Note |
Print version record. |
| Subject |
Differential equations, Partial -- Improperly posed problems.
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Équations aux dérivées partielles -- Problèmes mal posés.
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SCIENCE -- Physics -- Mathematical & Computational.
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Differential equations, Partial -- Improperly posed problems
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Inkorrekt gestelltes Problem
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Partielle Differentialgleichung
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| Added Author |
Straughan, B. (Brian)
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| Other Form: |
Print version: Ames, Karen A. Non-standard and improperly posed problems. San Diego, Calif. : Academic Press, ©1997 0120567458 9780120567454 (DLC) 97021742 (OCoLC)37180239 |
| ISBN |
9780120567454 |
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0120567458 |
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9780080537740 (electronic bk.) |
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008053774X (electronic bk.) |
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1281056804 |
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9781281056801 |
| Standard No. |
AU@ 000048130120 |
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CHNEW 001005189 |
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DEBBG BV036962209 |
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DEBBG BV042317229 |
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DEBSZ 276204018 |
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DEBSZ 482350377 |
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NZ1 12432353 |
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NZ1 15192811 |
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UKMGB 017548845 |
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AU@ 000059689027 |
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