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Potential Theory, Surveys and Problems

Proceedings of a Conference held in Prague, July 19-24, 1987

  • Conference proceedings
  • © 1988

Overview

Editors:
  1. Josef Král
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  2. Jaroslav Lukeš
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  3. Ivan Netuka
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  4. Jiří Veselý
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1344)

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Table of contents (29 papers)

  1. Front Matter

    Pages I-VIII
    Download chapter PDF

  2. Positive harmonic functions and hyperbolicity

    • Alano Ancona
    Pages 1-23

  3. Order and convexity in potential theory

    • N. Boboc, Gh Bucur
    Pages 24-41

  4. Probability methods in potential theory

    • Kai-Lai Chung
    Pages 42-54

  5. Layer potential methods for boundary value problems on lipschitz domains

    • Eugene Fabes
    Pages 55-80

  6. Fine potential theory

    • Bent Fuglede
    Pages 81-97

  7. Balayage spaces — A natural setting for potential theory

    • Wolfhard Hansen
    Pages 98-117

  8. Axiomatic non-linear potential theories

    • Ilpo Laine
    Pages 118-132

  9. Application of the potential theory to the study of qualitative properties of solutions of the elliptic and parabolic equations

    • E. M. Landis
    Pages 133-153

  10. Weighted extremal length and beppo levi functions

    • Makoto Ohtsuka
    Pages 154-161

  11. An introduction to iterative techniques for potential problems

    • G. F. Roach
    Pages 162-180

  12. Potential theory methods for higher order elliptic equations

    • G. Wildenhain
    Pages 181-195

  13. Problems on distortion under conformal mappings

    • José L. Fernandez
    Pages 197-197

  14. On the riesz representation of finely superharmonic functions

    • Bent Fuglede
    Pages 199-201

  15. Nonlinear elliptic measures

    • Juha Heinonen
    Pages 202-204

  16. Problems on a relation between measures and corresponding potentials

    • Mamoru Kanda
    Pages 205-206

  17. Open problems connected with level sets of harmonic functions

    • Bernhard Kawohl
    Pages 207-210

  18. On the extremal boundary of convex compact measures which represent a non-regular point in choquet simplex

    • D. G. Keselman
    Pages 211-213

  19. The problem of construction of the harmonic space based on choquet simplex

    • D. G. Keselman
    Pages 214-215

  20. The problem on quasi-interior in choquet simplexes

    • D. G. Keselman
    Pages 216-219
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Keywords

About this book

The volume comprises eleven survey papers based on survey lectures delivered at the Conference in Prague in July 1987, which covered various facets of potential theory, including its applications in other areas. The survey papers deal with both classical and abstract potential theory and its relations to partial differential equations, stochastic processes and other branches such as numerical analysis and topology. A collection of problems from potential theory, compiled on the occasion of the conference, is included, with additional commentaries, in the second part of this volume.

Bibliographic Information

  • Book Title: Potential Theory, Surveys and Problems

  • Book Subtitle: Proceedings of a Conference held in Prague, July 19-24, 1987

  • Editors: Josef Král, Jaroslav Lukeš, Ivan Netuka, Jiří Veselý

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0103340

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1988

  • Softcover ISBN: 978-3-540-50210-4Published: 14 September 1988

  • eBook ISBN: 978-3-540-45952-1Published: 08 February 2007

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: X, 278

  • Topics: Potential Theory, Mathematics Education, Statistical Theory and Methods

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