Classical and Modern Potential Theory and Applications: 430 (Nato Science Series C:, 430) - Hardcover

Hardcover

ISBN 10: 0792328035 ISBN 13: 9780792328032

Publisher: Springer, 1994

Synopsis

A NATO Advanced Research Workshop on Classical and Modern Potential The­ ory and Applications was held at the Chateau de Bonas, France, during the last week of July 1993. The workshop was organized by the Co-Directors M. Goldstein (Ari­ zona) and K. GowriSankaran (Montreal). The other members of the organizing committee were J. Bliedtner (Frankfurt), D. Feyel (Paris), W. K. Hayman (York, England) and I. Netuka (Praha). The objective of the workshop was to bring to­ gether the researchers at the forefront of the aspects of the Potential Theory for a meaningful dialogue and for positive interaction amongst the mathematicians prac­ tising different aspects of the theory and its applications. Fifty one mathematicians participated in the workshop. The workshop covered a fair representation of the classical aspects of the theory covering topics such as approximations, radial be­ haviour, value distributions of meromorphic functions and the modern Potential theory including axiomatic developments, probabilistic theories, studies on infinite dimensional Wiener spaces, solutions of powers of Laplacian and other second order partial differential equations. There were keynote addresses delivered by D. Armitage (Belfast), N. Bouleau (Paris), A. Eremenko (Purdue), S. J. Gardiner (Dublin), W. Hansen (Bielefeld), W. Hengartner (Laval U. , Quebec), K. Janssen (Dusseldorf), T. Murai (Nagoya), A. de la Pradelle (Paris) and J. M. Wu (Urbana). There were thirty six other invited talks of one half hour duration each.

About this title

Synopsis

This is a collection of research papers based on the talks given at the NATO Advanced Research Workshop held at Chateau de Bonas in France in July of 1993 and approved for publication by a panel of referees. The contributions are by some of the most prominent and active research workers in the subject from the NATO countries and a limited number of selected invitees from the rest of the mathematical world. The workshop brought together mathematicians doing work in the classical and the modern aspects of the subject for mutual interaction, and the articles in the volume bear evidence to this fact.This is a valuable book for all the mathematicians with research interest in potential theory. There are 33 research papers on several aspects of the current research in potential theory. Besides the latest research work of some of the most prominent and respected researchers in the subject, it contains a very valuable and thoroughly researched article on the mean value property of harmonic functions by I. Netuka and J. Vesely. The article by T. Murai on ozone depletion and its study through certain differential equations is very topical and undoubtedly of great interest to many.

The volume also contains a large number of state-of-the-art research problems posed by the participants at the workshop.

Edition details

• Publisher: Springer
• Publication date: 1994
• Language: English
• ISBN 10: 0792328035
• ISBN 13: 9780792328032
• Binding: Hardcover
• Number of pages: 470
• Editor: GowriSankaran K., Bliedtner J., Feyel D., Goldstein M., Hayman W.K., Netuka I.