Nonlinear Theory of Generalized Functions

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advanced nonlinear PDE research
Banach Algebra
Banach Spaces
Category=PBKF
Category=PBKJ
Category=PBM
Category=PBW
Cauchy Problem
Colombeau Generalized Functions
Colombeau's Algebras
Colombeau's Theory
Colombeau’s Algebras
Colombeau’s Theory
Dense
differential algebra
Energy Momentum Tensor
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Geodesic Equations
Hugoniot Rankine Condition
Hyperbolic Conservation Laws
Iterated Integrals
mathematical physics
microlocal analysis
Nonlinear Conservation Law
Nonlinear PDEs
Nonlinear Schrodinger Equation
Ordinary Differential Equation
Quotient Algebra
Schwartz Distributions
Schwarzschild Black Hole
Semilinear Heat Equation
singularity analysis
Smooth Diffeomorphisms
spectral theory
Stochastic Differential Equations
stochastic modeling
Tempered Generalized Functions
Ultrarelativistic Limit
Unbounded Operators

Product details

  • ISBN 9780849306495
  • Weight: 453g
  • Dimensions: 156 x 234mm
  • Publication Date: 16 Mar 1999
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Paperback
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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-Schrödinger 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.
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)