Evolution Equations Of Hyperbolic And Schrodinger Type
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Author | : Michael Ruzhansky |
Publisher | : Springer Science & Business Media |
Total Pages | : 327 |
Release | : 2012-08-04 |
Genre | : Mathematics |
ISBN | : 3034804547 |
Evolution equations of hyperbolic or more general p-evolution type form an active field of current research. This volume aims to collect some recent advances in the area in order to allow a quick overview of ongoing research. The contributors are first rate mathematicians. This collection of research papers is centred around parametrix constructions and microlocal analysis; asymptotic constructions of solutions; energy and dispersive estimates; and associated spectral transforms. Applications concerning elasticity and general relativity complement the volume. The book gives an overview of a variety of ongoing current research in the field and, therefore, allows researchers as well as students to grasp new aspects and broaden their understanding of the area.
Author | : Victor A. Galaktionov |
Publisher | : CRC Press |
Total Pages | : 565 |
Release | : 2014-09-22 |
Genre | : Mathematics |
ISBN | : 1482251736 |
Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations shows how four types of higher-order nonlinear evolution partial differential equations (PDEs) have many commonalities through their special quasilinear degenerate representations. The authors present a unified approach to deal with these quasilinear PDEs.The book
Author | : Vincenzo Ancona |
Publisher | : CRC Press |
Total Pages | : 390 |
Release | : 2003-03-06 |
Genre | : Mathematics |
ISBN | : 9780203911143 |
Presenting research from more than 30 international authorities, this reference provides a complete arsenal of tools and theorems to analyze systems of hyperbolic partial differential equations. The authors investigate a wide variety of problems in areas such as thermodynamics, electromagnetics, fluid dynamics, differential geometry, and topology. Renewing thought in the field of mathematical physics, Hyperbolic Differential Operators defines the notion of pseudosymmetry for matrix symbols of order zero as well as the notion of time function. Surpassing previously published material on the topic, this text is key for researchers and mathematicians specializing in hyperbolic, Schrödinger, Einstein, and partial differential equations; complex analysis; and mathematical physics.
Author | : |
Publisher | : ScholarlyEditions |
Total Pages | : 1227 |
Release | : 2013-05-01 |
Genre | : Mathematics |
ISBN | : 1490107495 |
Issues in Logic, Operations, and Computational Mathematics and Geometry: 2013 Edition is a ScholarlyEditions™ book that delivers timely, authoritative, and comprehensive information about Random Structures and Algorithms. The editors have built Issues in Logic, Operations, and Computational Mathematics and Geometry: 2013 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Random Structures and Algorithms in this book to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Logic, Operations, and Computational Mathematics and Geometry: 2013 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.
Author | : Jerome A. Goldstein |
Publisher | : Courier Dover Publications |
Total Pages | : 321 |
Release | : 2017-05-17 |
Genre | : Mathematics |
ISBN | : 048681257X |
Advanced graduate-level treatment of semigroup theory explores semigroups of linear operators and linear Cauchy problems. The text features challenging exercises and emphasizes motivation, heuristics, and further applications. 1985 edition.
Author | : P.R. Chernoff |
Publisher | : Springer |
Total Pages | : 165 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 3540372873 |
Author | : Kaïs Ammari |
Publisher | : Cambridge University Press |
Total Pages | : 205 |
Release | : 2018 |
Genre | : Mathematics |
ISBN | : 1108412300 |
The proceedings of a summer school held in 2015 whose theme was long time behavior and control of evolution equations.
Author | : Boling Guo |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 369 |
Release | : 2019-11-05 |
Genre | : Mathematics |
ISBN | : 3110614782 |
Nonlinear Evolution Equation presents state-of-the-art theories and results on nonlinear evolution equation, showing related mathematical methods and applications. The basic concepts and research methods of infinite dimensional dynamical systems are discussed in detail. The unique combination of mathematical rigor and physical background makes this work an essential reference for researchers and students in applied mathematics and physics.
Author | : Chrisopher B. Croke |
Publisher | : Springer Science & Business Media |
Total Pages | : 334 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1468493752 |
This IMA Volume in Mathematics and its Applications GEOMETRIC METHODS IN INVERSE PROBLEMS AND PDE CONTROL contains a selection of articles presented at 2001 IMA Summer Program with the same title. We would like to thank Christopher B. Croke (University of Penn sylva nia), Irena Lasiecka (University of Virginia), Gunther Uhlmann (University of Washington), and Michael S. Vogelius (Rutgers University) for their ex cellent work as organizers of the two-week summer workshop and for editing the volume. We also take this opportunity to thank the National Science Founda tion for their support of the IMA. Series Editors Douglas N. Arnold, Director of the IMA Fadil Santosa, Deputy Director of the IMA v PREFACE This volume contains a selected number of articles based on lectures delivered at the IMA 2001 Summer Program on "Geometric Methods in Inverse Problems and PDE Control. " The focus of this program was some common techniques used in the study of inverse coefficient problems and control problems for partial differential equations, with particular emphasis on their strong relation to fundamental problems of geometry. Inverse coef ficient problems for partial differential equations arise in many application areas, for instance in medical imaging, nondestructive testing, and geophys ical prospecting. Control problems involving partial differential equations may arise from the need to optimize a given performance criterion, e. g. , to dampen out undesirable vibrations of a structure , or more generally, to obtain a prescribed behaviour of the dynamics.
Author | : Eric Carlen |
Publisher | : American Mathematical Soc. |
Total Pages | : 234 |
Release | : 1998 |
Genre | : Mathematics |
ISBN | : 0821808613 |
The text offers a combination of certain emerging topics and important research advances in the area of differential equations. The topics range widely and include magnetic Schroedinger operators, the Boltzmann equations, nonlinear variational problems and noncommutative probability theory. The text is suitable for graduate and advanced graduate courses and seminars on the topic, as well as research mathematicians and physicists working in mathematical physics, applied mathematics, analysis and differential equations.