New Methods and Results in Non-linear Field Equations

Proceedings of a Conference Held at the University of Bielefeld, Fed. Rep. of Germany, 7–10 July 1987

  • Editors
  • Philippe Blanchard
  • Joao-Paulo Dias
  • Joachim Stubbe
Conference proceedings

Part of the Lecture Notes in Physics book series (LNP, volume 347)

Table of contents

About these proceedings


Quantum effects may be modelled by means of stochastic perturbation of non-linear partial differential (field) equations. Contributions to this field of research are collected in this volume. Finite dimensional stochastically perturbed Hamiltonian systems and infinite dimensional white noise analysis are treated. The main part concerns problems encountered in deterministic equations. Papers treat the existence of solutions for given initial data, the existence of non-linear bound states or solitary waves including a thorough discussion of various approaches to stability, and global properties (e.g. time decay properties) for non-linear wave equations. This volume provides a good survey of present-day research in non-linear problems of quantum theory for researchers and graduate students.


Dirac equation Hamiltonian noise paper quantum theory solution stability wave wave equation

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag 1989
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-51977-5
  • Online ISBN 978-3-540-46868-4
  • Series Print ISSN 0075-8450
  • Series Online ISSN 1616-6361
  • Buy this book on publisher's site
Industry Sectors
IT & Software
Energy, Utilities & Environment