Nonlinear Theory of Generalized Functions
1st Edition
Will be published approx. on 16. March 1999
Book
Paperback/Softback
400 pages
978-0-8493-0649-5 (ISBN)
Description
Questions regarding the interplay of nonlinearity and the creation and propagation of singularities arise in a variety of fields-including nonlinear partial differential equations, noise-driven stochastic partial differential equations, general relativity, and geometry with singularities. A workshop held at the Erwin-Schroedinger International Institute for Mathematical Physics in Vienna investigated these questions and culminated in this volume of invited papers from experts in the fields of nonlinear partial differential equations, structure theory of generalized functions, geometry and general relativity, stochastic partial differential equations, and nonstandard analysis.
The authors provide the latest research relevant to work in partial differential equations, mathematical physics, and nonlinear analysis. With a focus on applications, this books provides a compilation of recent approaches to the problem of singularities in nonlinear models. The theory of differential algebras of generalized functions serves as the central theme of the project, along with its interrelations with classical methods.
The authors provide the latest research relevant to work in partial differential equations, mathematical physics, and nonlinear analysis. With a focus on applications, this books provides a compilation of recent approaches to the problem of singularities in nonlinear models. The theory of differential algebras of generalized functions serves as the central theme of the project, along with its interrelations with classical methods.
More details
Series
Language
English
Place of publication
Oxford
United Kingdom
Publishing group
Taylor & Francis Ltd
Target group
Professional and scholarly
Professional
Dimensions
Height: 234 mm
Width: 156 mm
Weight
453 gr
ISBN-13
978-0-8493-0649-5 (9780849306495)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Michael Oberguggenberger | Michael Grosser | Michael Kunzinger
Nonlinear Theory of Generalized Functions
E-Book
02/2022
1st Edition
Routledge
€158.99
Available for download
Michael Oberguggenberger | Michael Grosser | Michael Kunzinger
Nonlinear Theory of Generalized Functions
E-Book
02/2022
1st Edition
Routledge
€158.99
Available for download
Michael Oberguggenberger | Michael Grosser | Michael Kunzinger
Nonlinear Theory of Generalized Functions
Book
12/2020
1st Edition
Routledge
€170.84
Shipment within 10-20 days
Persons
Michael Oberguggenberger (Inst Mathematic/Geometrie, Innsbruck, Austria) (Edited by) Michael Grosser (University of Vienna, Vienna, Austria) (Edited by) Michael Kunzinger (Edited by) Gunther Hormann (Institut fur Mathematic, Vienna, Austria) (Edited by)
Content
Preface Partial Differential EquationsOn the Structure of Singularities in Solutions of the Nonlinear Schroedinger Equation for the Critical Case, p = 4/n , J. Angulo, J. L. Bona, F. Linares, M. ScialomThe Schroedinger Equation with Point Interaction in an Algebra of New Generalized Functions, A. AntonevichPolynomial a Priori Estimates for Some Evolution PDE and Generalized Solutions, H. A. Biagioni, T. GramchevShift Differentials of Maps in BV Spaces, A. Bressan, M. LewickaCalculation of the Singularity Dynamics for Quadratic Nonlinear Hyperbolic Equations. Example: The Hopf Equation, V. G. Danilov, G. A. Omel'yanovVanishing Viscosity Boundary Layers for Nonlinear Hyperbolic Systems, O. GuesOrdinary Differential Equations and Generalized Functions, R. Hermann, M. OberguggenbergerConservation Laws, Delta Shocks and Singular Shocks, B. L. KeyfitzNonlinear Singular Schroedinger Type Equations, H. Lange, m. Poppenberg, H. TeismannNon-Analytic Solutions of Nonlinear Wave Models, Y. A. Li, P. J. Olver, P. RosenauThe Dirichlet Problem and Compact Operators in Colombeau Theory, D. ScarpalezosHighly Oscillatory Shock Waves, Y. WangStructure TheorySharp Topologies on (C, E, P)-Algebras, A. Delcroix, D. Scarpalezos(C, E, P)-Sheaf Structures and Applications, J.-A. MartiLocal and Microlocal Analysis in the Space of Colombeau Generalized Functions, S. PilipovicBasics of a General Spectral Theory of Banach Modules, N. Y. RadynoExtensions of Algebras, Memofunctions and Their Applications, Y. V. RadynoOn the Multiplication of Periodic Hyperfunctions of One Variable, V. ValmorinGeometry, General Relativity Distributional Aspects of General Relativity: The Example of the Energy-Momentum Tensor of the Extended Kerr-Geometry, H. BalasinLie Symmetries of Differential Equations in a Generalized Functions Setting, M. KunzingerArbitrary Global Lie Group Actions on Generalized Solutions of Nonlinea