Reinhard Racke's Books

Lectures on Nonlinear Evolution Equations

Initial Value Problems

By: Reinhard Racke

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Lectures on Nonlinear Evolution Equations

Initial Value Problems

By: Reinhard Racke

This book mainly serves as an elementary, self-contained introduction to several important aspects of the theory of global solutions to initial value problems for nonlinear evolution equations. The book employs the classical method of continuation of local solutions with the help of a priori estimates obtained for small data. The existence and uniqueness of small, smooth solutions that are defined for all values of the time parameter are investigated. Moreover, the asymptotic behaviour of the solutions is described as time tends to infinity. The methods for nonlinear wave equations are discussed in detail. Other examples include the equations of elasticity, heat equations, the equations of thermoelasticity, Schrödinger equations, Klein-Gordon equations, Maxwell equations and plate equations. To emphasize the importance of studying the conditions under which small data problems offer global solutions, some blow-up results are briefly described. Moreover, the prospects for corresponding initial boundary value problems and for open questions are provided. In this second edition, initial-boundary value problems in waveguides are additionally considered.

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Page Count

315

Publisher

Birkhäuser

Published Date

ISBN 10

3319218735

ISBN 13

9783319218731

Evolution Equations in Thermoelasticity

By: Reinhard Racke,Song Jiang

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Evolution Equations in Thermoelasticity

By: Reinhard Racke,Song Jiang

Although the study of classical thermoelasticity has provided information on linear systems, only recently have results on the asymptotic behavior completed our basic understanding of the generic behavior of solutions. Through systematic work that began in the 80s, we now also understand the basic features of nonlinear systems. Yet some questions r

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Page Count

319

Publisher

CRC Press

Published Date

ISBN 10

1482285789

ISBN 13

9781482285789

Organic Trace Analysis

By: Reinhard Nießner,Andreas Schäffer

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Organic Trace Analysis

By: Reinhard Nießner,Andreas Schäffer

Organic contaminants even in very low concentrations can have toxic and ecotoxic effects on exposed organisms. Detection and quantification of such trace amounts in diverging matrices (e.g., water, air, soil, food, tissue, organisms) is challenging and great carefulness and strategic thinking is needed to get reliable results along the way from taking samples up to the final analysis. In the 2nd edition, besides revisions of existing chapters, new analytical technologies and recent application examples are presented: non-target mass spectrometric analysis, trace analysis of per- and polyfluoroalkylated "forever chemicals", organophosphorus esters (nerve agents), and micro- and nanoplastic particles in the environment. Students will learn about peculiarities and state of the art organic trace analysis and acquire basic and advanced principles of statistical evaluation of analytical results quality control strategies and good laboratory practices sampling techniques from various matrices sample treatment, enrichment and clean-up techniques chromatographic analyses including hyphenated techniques, and spectroscopy as well mass spectrometry and bioanalytical tools. An extended chapter on selected applications will transfer the theoretical understanding into applied scientific problems. Students will profit from a comprehensive and state of the art overview of organic trace analyses and from an extensive collection of relevant literature.

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Page Count

472

Publisher

Walter de Gruyter GmbH & Co KG

Published Date

ISBN 10

3111165205

ISBN 13

9783111165202

Multiple Sclerosis 3, Volume 34 E-Book

Blue Books of Neurology Series

By: Claudia Lucchinetti,Reinhard Hohlfeld

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Multiple Sclerosis 3, Volume 34 E-Book

Blue Books of Neurology Series

By: Claudia Lucchinetti,Reinhard Hohlfeld

Multiple Sclerosis 3 emphasizes the latest in the pharmacologic treatment of this incurable inflammatory demyelinating disorder. Primary editors Claudia Lucchinetti, MD, and Reinhard Hohlfeld, MD, with the aid of all new contributors, present a complete and current reference on multiple sclerosis that includes discussions of such hot topics as Biomarkers, Genomics, and Surrogate Outcomes in MS; Pediatric MS; Transverse Myelitis; Attack Therapies in MS; Current Disease-Modifying Therapeutic Strategies in MS; Management of Aggressive MS; Symptomatic Therapies in MS; Complementary and Alternative Medical Therapies; and Strategies to Promote Neuroprotection and Repair. Distinguish between MS and other similar demyelinating disorders and know the best and most aggressive methods of treatment. This title in the Blue Books of Neurology series is exactly what you need to treat the disease and its relapses. Covers the latest clinical advances and relevant discussions—Biomarkers, Genomics, and Surrogate Outcomes in MS; Pediatric MS; Transverse Myelitis; Attack Therapies in MS; Current Disease-Modifying Therapeutic Strategies in MS; Management of Aggressive MS; Symptomatic Therapies in MS; Complementary and Alternative Medical Therapies; and Strategies to Promote Neuroprotection and Repair—to bring you up to date and keep your practice state-of-the-art. Features a greater emphasis on practical management to help you determine the type of multiple sclerosis and the best course of therapy. Focuses on pharmaceutical therapies so you know the best and most aggressive methods and which drugs to use for treatment. Includes extensive information on differential diagnosis so that you can clearly distinguish between multiple sclerosis and other similar demyelinating disorders. Presents expert new editors and experienced contributing authors for the most current and relevant practice information. Emphasizes the pharmacologic management of patients with multiple sclerosis to address treating the actual disease and its relapses as well as treating the symptoms.

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Page Count

487

Publisher

Elsevier Health Sciences

Published Date

ISBN 10

1437711294

ISBN 13

9781437711295

Lectures on Nonlinear Evolution Equations

Initial Value Problems

By: Reinhard Racke

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Lectures on Nonlinear Evolution Equations

Initial Value Problems

By: Reinhard Racke

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Page Count

315

Publisher

Birkhäuser

Published Date

ISBN 10

3319218735

ISBN 13

9783319218731

Evolution Equations in Thermoelasticity

By: Reinhard Racke,Song Jiang

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Evolution Equations in Thermoelasticity

By: Reinhard Racke,Song Jiang

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Solve jigsaw puzzle

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Page Count

319

Publisher

CRC Press

Published Date

ISBN 10

1482285789

ISBN 13

9781482285789

Book's by Reinhard Racke

Lectures on Nonlinear Evolution Equations

Lectures on Nonlinear Evolution Equations

Evolution Equations in Thermoelasticity

Evolution Equations in Thermoelasticity

Organic Trace Analysis

Organic Trace Analysis

Multiple Sclerosis 3, Volume 34 E-Book

Multiple Sclerosis 3, Volume 34 E-Book

Lectures on Nonlinear Evolution Equations

Lectures on Nonlinear Evolution Equations

Evolution Equations in Thermoelasticity

Evolution Equations in Thermoelasticity

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