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Bücher Wissen & Bildung Englische Bücher Naturwissenschaft, Medizin, Informatik, Technik Mathematik Analysis On Modern Approaches of Hamilton-Jacobi Equations and Control Problems with Discontinuities
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On Modern Approaches of Hamilton-Jacobi Equations and Control Problems with Discontinuities
Guy Barles, Emmanuel Chasseigne (Broschiert, Englisch)
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Beschreibung
This monograph presents the most recent developments in the study of Hamilton-Jacobi Equations and control problems with discontinuities, mainly from the viewpoint of partial differential equations. Two main cases are investigated in detail: the case of codimension 1 discontinuities and the stratified case in which the discontinuities can be of any codimensions. In both, connections with… deterministic control problems are carefully studied, and numerous examples and applications are illustrated throughout the text. After an initial section that provides a “toolbox” containing key results which will be used throughout the text, Parts II and III completely describe several recently introduced approaches to treat problems involving either codimension 1 discontinuities or networks. The remaining sections are concerned with stratified problems either in the whole space R^N or in bounded or unbounded domains with state-constraints. In particular, the use of stratified solutions to treat problems with boundary conditions, where both the boundary may be non-smooth and the data may present discontinuities, is developed. Many applications to concrete problems are explored throughout the text – such as Kolmogorov-Petrovsky-Piskunov (KPP) type problems, large deviations, level-sets approach, large time behavior, and homogenization – and several key open problems are presented. This monograph will be of interest to graduate students and researchers working in deterministic control problems and Hamilton-Jacobi Equations, network problems, or scalar conservation laws. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
31.12.2024
Sprache
Englisch
EAN
9783031493737
Herausgeber
Springer International Publishing
Serien- oder Bandtitel
Progress in Nonlinear Differential Equations and Their Applications
Sonderedition
Nein
Autor
Guy Barles, Emmanuel Chasseigne
Seitenanzahl
573
Einbandart
Broschiert
Buch Untertitel
A Guide to Theory, Applications, and Some Open Problems
Schlagwörter
Hamilton-Jacobi Equations with discontinuities, Initial-boundary value problems, Deterministic control problems, Viscosity solutions, Stratified problems, Comparison principles, Stability, Vanishing viscosity method
Thema-Inhalt
PBKJ - Differentialrechnung und -gleichungen
PBU - Optimierung
GPFC - Kybernetik und Systemtheorie
Höhe
235 mm
Breite
15.5 cm
Hersteller: Springer Nature Customer Service Center GmbH, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com
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