New Methods and Results in Non-linear Field Equations: Proceedings of a Conference Held at the University of Bielefeld, Federal Republic of Germany, 7–10 July 1987
Author:   Philippe Blanchard ,  Joao-Paulo Dias ,  Joachim Stubbe
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Edition:   Softcover reprint of the original 1st ed. 1989
Volume:   347
ISBN:  

9783662144947


Pages:   136
Publication Date:   23 August 2014
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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New Methods and Results in Non-linear Field Equations: Proceedings of a Conference Held at the University of Bielefeld, Federal Republic of Germany, 7–10 July 1987


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Overview

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.

Full Product Details

Author:   Philippe Blanchard ,  Joao-Paulo Dias ,  Joachim Stubbe
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   Softcover reprint of the original 1st ed. 1989
Volume:   347
Dimensions:   Width: 17.00cm , Height: 0.80cm , Length: 24.40cm
Weight:   0.269kg
ISBN:  

9783662144947


ISBN 10:   3662144948
Pages:   136
Publication Date:   23 August 2014
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Some remarks on stochastically perturbed (Hamiltonian) systems.- Stability of ground states for nonlinear classical field theories.- A note on solutions of two-dimensional semilinear elliptic vector-field equations with strong nonlinearity.- Some remarks on the nonlinear Schrödinger equation in the subcritical case.- The Cauchy problem for the Dirac equation with cubic nonlinearity in three space dimensions.- The Cauchy problem for the non-linear Klein-Cordon equation.- Conformal invariance and time decay for nonlinear wave equations.- Energy forms and white noise analysis.- Principles of solitary wave stability.

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