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＜電子ブック＞
Aspects of Boundary Problems in Analysis and Geometry / edited by Juan Gil, Thomas Krainer, Ingo Witt
(Advances in Partial Differential Equations. ISSN:25043595 ; 151)

版	1st ed. 2004.
出版者	(Basel : Birkhäuser Basel : Imprint: Birkhäuser)
出版年	2004
本文言語	英語
大きさ	XII, 564 p : online resource
著者標目	Gil, Juan editor Krainer, Thomas editor Witt, Ingo editor SpringerLink (Online service)
件　名	LCSH:Global analysis (Mathematics) LCSH:Manifolds (Mathematics) LCSH:Operator theory LCSH:Differential equations LCSH:Geometry, Differential FREE:Global Analysis and Analysis on Manifolds FREE:Operator Theory FREE:Differential Equations FREE:Differential Geometry FREE:Manifolds and Cell Complexes
一般注記	I Rarefied Gases -- 1. Macroscopic limits of the Boltzmann equation: a review -- 2. Moment equations for charged particles: global existence results -- 3. Monte-Carlo methods for the Boltzmann equation -- 4. Accurate numerical methods for the Boltzmann equation -- 5. Finite-difference methods for the Boltzmann equation for binary gas mixtures -- II Applications -- 6. Plasma kinetic models: the Fokker-Planck-Landau equation -- 7. On multipole approximations of the Fokker-Planck-Landau operator -- 8. Traffic flow: models and numerics -- 9. Modelling and numerical methods for granular gases -- 10. Quantum kinetic theory: modelling and numerics for Bose-Einstein condensation -- 11. On coalescence equations and related models Boundary problems constitute an essential field of common mathematical interest. The intention of this volume is to highlight several analytic and geometric aspects of boundary problems with special emphasis on their interplay. It includes surveys on classical topics presented from a modern perspective as well as reports on current research. The collection splits into two related groups: - analysis and geometry of geometric operators and their index theory - elliptic theory of boundary value problems and the Shapiro-Lopatinsky condition HTTP:URL=https://doi.org/10.1007/978-3-0348-7850-0

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