Potential Theory Surveys and Problems (Record no. 30655)

000 -LEADER
fixed length control field 03929nam a22004935i 4500
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 9783540459521
-- 978-3-540-45952-1
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515.96
245 10 - TITLE STATEMENT
Title Potential Theory Surveys and Problems
Sub Title Proceedings of a Conference held in Prague, July 19–24, 1987 /
Statement of responsibility, etc edited by Josef Král, Jaroslav Lukeš, Ivan Netuka, Jiří Veselý.
260 #1 - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication Berlin, Heidelberg :
Name of publisher Springer Berlin Heidelberg,
Year of publication 1988.
300 ## - PHYSICAL DESCRIPTION
Number of Pages X, 278 p.
Other physical details online resource.
490 1# - SERIES STATEMENT
Series statement Lecture Notes in Mathematics,
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Positive harmonic functions and hyperbolicity -- Order and convexity in potential theory -- Probability methods in potential theory -- Layer potential methods for boundary value problems on lipschitz domains -- Fine potential theory -- Balayage spaces — A natural setting for potential theory -- Axiomatic non-linear potential theories -- Application of the potential theory to the study of qualitative properties of solutions of the elliptic and parabolic equations -- Weighted extremal length and beppo levi functions -- An introduction to iterative techniques for potential problems -- Potential theory methods for higher order elliptic equations -- Problems on distortion under conformal mappings -- On the riesz representation of finely superharmonic functions -- Nonlinear elliptic measures -- Problems on a relation between measures and corresponding potentials -- Open problems connected with level sets of harmonic functions -- On the extremal boundary of convex compact measures which represent a non-regular point in choquet simplex -- The problem of construction of the harmonic space based on choquet simplex -- The problem on quasi-interior in choquet simplexes -- Boundary regularity and potential-theoretic operators -- Contractivity of the operator of the arithmetical mean -- Fine maxima -- Repeated singular integrals -- Cofine potential theory -- Essential and principal balayages -- Local connectedness of the fine topology -- On the lusin-menchoff property -- Relations between parabolic capacities -- Isovolumetric inequalities for the least harmonic majorant of |x|p.
520 ## - SUMMARY, ETC.
Summary, etc 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.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Mathematics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Potential theory (Mathematics).
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Mathematics.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Potential Theory.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Král, Josef.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Lukeš, Jaroslav.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Netuka, Ivan.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Veselý, Jiří.
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://dx.doi.org/10.1007/BFb0103340
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type E-BOOKS
264 #1 -
-- Berlin, Heidelberg :
-- Springer Berlin Heidelberg,
-- 1988.
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-- online resource
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830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
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Holdings
Withdrawn status Lost status Damaged status Not for loan Current library Accession Number Uniform Resource Identifier Koha item type
        IMSc Library EBK1361 http://dx.doi.org/10.1007/BFb0103340 E-BOOKS
The Institute of Mathematical Sciences, Chennai, India

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