000			03929nam a22004935i 4500
001			978-3-540-45952-1
003			DE-He213
005			20160624101822.0
007			cr nn 008mamaa
008			121227s1988 gw | s |||| 0|eng d
020			_a9783540459521 _9978-3-540-45952-1
024	7		_a10.1007/BFb0103340 _2doi
050		4	_aQA404.7-405
072		7	_aPBWL _2bicssc
072		7	_aMAT033000 _2bisacsh
082	0	4	_a515.96 _223
245	1	0	_aPotential Theory Surveys and Problems _h[electronic resource] : _bProceedings of a Conference held in Prague, July 19–24, 1987 / _cedited by Josef Král, Jaroslav Lukeš, Ivan Netuka, Jiří Veselý.
260		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c1988.
264		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c1988.
300			_aX, 278 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aLecture Notes in Mathematics, _x0075-8434 ; _v1344
505	0		_aPositive 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			_aThe 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	_aMathematics.
650		0	_aPotential theory (Mathematics).
650	1	4	_aMathematics.
650	2	4	_aPotential Theory.
700	1		_aKrál, Josef. _eeditor.
700	1		_aLukeš, Jaroslav. _eeditor.
700	1		_aNetuka, Ivan. _eeditor.
700	1		_aVeselý, Jiří. _eeditor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783540502104
786			_dSpringer
830		0	_aLecture Notes in Mathematics, _x0075-8434 ; _v1344
856	4	0	_uhttp://dx.doi.org/10.1007/BFb0103340
942			_2EBK1361 _cEBK
999			_c30655 _d30655