Author: C. van den Berg
Publisher: Springer
ISBN: 3540391835
Category : Mathematics
Languages : en
Pages : 331
Book Description
Potential Theory: Copenhagen 1979
Author: C. van den Berg
Publisher: Springer
ISBN: 3540391835
Category : Mathematics
Languages : en
Pages : 331
Book Description
Publisher: Springer
ISBN: 3540391835
Category : Mathematics
Languages : en
Pages : 331
Book Description
Potential Theory
Author: Masanori Kishi
Publisher: Walter de Gruyter
ISBN: 3110859068
Category : Mathematics
Languages : en
Pages : 417
Book Description
The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
Publisher: Walter de Gruyter
ISBN: 3110859068
Category : Mathematics
Languages : en
Pages : 417
Book Description
The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
Potential Theory
Author: Josef Kral
Publisher: Springer Science & Business Media
ISBN: 1461309816
Category : Mathematics
Languages : en
Pages : 352
Book Description
Within the tradition of meetings devoted to potential theory, a conference on potential theory took place in Prague on 19-24, July 1987. The Conference was organized by the Faculty of Mathematics and Physics, Charles University, with the collaboration of the Institute of Mathematics, Czechoslovak Academy of Sciences, the Department of Mathematics, Czech University of Technology, the Union of Czechoslovak Mathematicians and Physicists, the Czechoslovak Scientific and Technical Society, and supported by IMU. During the Conference, 69 scientific communications from different branches of potential theory were presented; the majority of them are in cluded in the present volume. (Papers based on survey lectures delivered at the Conference, its program as well as a collection of problems from potential theory will appear in a special volume of the Lecture Notes Series published by Springer-Verlag). Topics of these communications truly reflect the vast scope of contemporary potential theory. Some contributions deal with applications in physics and engineering, other concern potential theoretic aspects of function theory and complex analysis. Numerous papers are devoted to the theory of partial differential equations. Included are also many articles on axiomatic and abstract potential theory with its relations to probability theory. The present volume may thus be of intrest to mathematicians speciali zing in the above-mentioned fields and also to everybody interested in the present state of potential theory as a whole.
Publisher: Springer Science & Business Media
ISBN: 1461309816
Category : Mathematics
Languages : en
Pages : 352
Book Description
Within the tradition of meetings devoted to potential theory, a conference on potential theory took place in Prague on 19-24, July 1987. The Conference was organized by the Faculty of Mathematics and Physics, Charles University, with the collaboration of the Institute of Mathematics, Czechoslovak Academy of Sciences, the Department of Mathematics, Czech University of Technology, the Union of Czechoslovak Mathematicians and Physicists, the Czechoslovak Scientific and Technical Society, and supported by IMU. During the Conference, 69 scientific communications from different branches of potential theory were presented; the majority of them are in cluded in the present volume. (Papers based on survey lectures delivered at the Conference, its program as well as a collection of problems from potential theory will appear in a special volume of the Lecture Notes Series published by Springer-Verlag). Topics of these communications truly reflect the vast scope of contemporary potential theory. Some contributions deal with applications in physics and engineering, other concern potential theoretic aspects of function theory and complex analysis. Numerous papers are devoted to the theory of partial differential equations. Included are also many articles on axiomatic and abstract potential theory with its relations to probability theory. The present volume may thus be of intrest to mathematicians speciali zing in the above-mentioned fields and also to everybody interested in the present state of potential theory as a whole.
Potential Theory
Author: Jürgen Bliedtner
Publisher: Springer Science & Business Media
ISBN: 3642711316
Category : Mathematics
Languages : en
Pages : 448
Book Description
During the last thirty years potential theory has undergone a rapid development, much of which can still only be found in the original papers. This book deals with one part of this development, and has two aims. The first is to give a comprehensive account of the close connection between analytic and probabilistic potential theory with the notion of a balayage space appearing as a natural link. The second aim is to demonstrate the fundamental importance of this concept by using it to give a straight presentation of balayage theory which in turn is then applied to the Dirichlet problem. We have considered it to be beyond the scope of this book to treat further topics such as duality, ideal boundary and integral representation, energy and Dirichlet forms. The subject matter of this book originates in the relation between classical potential theory and the theory of Brownian motion. Both theories are linked with the Laplace operator. However, the deep connection between these two theories was first revealed in the papers of S. KAKUTANI [1], [2], [3], M. KAC [1] and J. L. DO DB [2] during the period 1944-54: This can be expressed by the·fact that the harmonic measures which occur in the solution of the Dirichlet problem are hitting distri butions for Brownian motion or, equivalently, that the positive hyperharmonic func tions for the Laplace equation are the excessive functions of the Brownian semi group.
Publisher: Springer Science & Business Media
ISBN: 3642711316
Category : Mathematics
Languages : en
Pages : 448
Book Description
During the last thirty years potential theory has undergone a rapid development, much of which can still only be found in the original papers. This book deals with one part of this development, and has two aims. The first is to give a comprehensive account of the close connection between analytic and probabilistic potential theory with the notion of a balayage space appearing as a natural link. The second aim is to demonstrate the fundamental importance of this concept by using it to give a straight presentation of balayage theory which in turn is then applied to the Dirichlet problem. We have considered it to be beyond the scope of this book to treat further topics such as duality, ideal boundary and integral representation, energy and Dirichlet forms. The subject matter of this book originates in the relation between classical potential theory and the theory of Brownian motion. Both theories are linked with the Laplace operator. However, the deep connection between these two theories was first revealed in the papers of S. KAKUTANI [1], [2], [3], M. KAC [1] and J. L. DO DB [2] during the period 1944-54: This can be expressed by the·fact that the harmonic measures which occur in the solution of the Dirichlet problem are hitting distri butions for Brownian motion or, equivalently, that the positive hyperharmonic func tions for the Laplace equation are the excessive functions of the Brownian semi group.
Potential Theory, Surveys and Problems
Author: Josef Kral
Publisher: Springer
ISBN: 3540459529
Category : Mathematics
Languages : en
Pages : 276
Book Description
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.
Publisher: Springer
ISBN: 3540459529
Category : Mathematics
Languages : en
Pages : 276
Book Description
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.
Algebraic Potential Theory
Author: Maynard Arsove
Publisher: American Mathematical Soc.
ISBN: 0821822268
Category : Mathematics
Languages : en
Pages : 138
Book Description
Global aspects of classical and axiomatic potential theory are developed in a purely algebraic way, in terms of a new algebraic structure called a mixed lattice semigroup. This generalizes the notion of a Riesz space (vector lattice) by replacing the usual symmetrical lower and upper envelopes by unsymmetrical "mixed" lower and upper envelopes, formed relative to specific order on the first element and initial order on the second. The treatment makes essential use of a calculus of mixed envelopes, in which the main formulas and inequalities are derived through the use of certain semigroups of nonlinear operators. Techniques based on these operator semigroups are new even in the classical setting.
Publisher: American Mathematical Soc.
ISBN: 0821822268
Category : Mathematics
Languages : en
Pages : 138
Book Description
Global aspects of classical and axiomatic potential theory are developed in a purely algebraic way, in terms of a new algebraic structure called a mixed lattice semigroup. This generalizes the notion of a Riesz space (vector lattice) by replacing the usual symmetrical lower and upper envelopes by unsymmetrical "mixed" lower and upper envelopes, formed relative to specific order on the first element and initial order on the second. The treatment makes essential use of a calculus of mixed envelopes, in which the main formulas and inequalities are derived through the use of certain semigroups of nonlinear operators. Techniques based on these operator semigroups are new even in the classical setting.
Classical and Modern Potential Theory and Applications
Author: K. GowriSankaran
Publisher: Springer Science & Business Media
ISBN: 9401111383
Category : Mathematics
Languages : en
Pages : 467
Book Description
Proceedings of the NATO Advanced Research Workshop, Château de Bonas, France, July 25--31, 1993
Publisher: Springer Science & Business Media
ISBN: 9401111383
Category : Mathematics
Languages : en
Pages : 467
Book Description
Proceedings of the NATO Advanced Research Workshop, Château de Bonas, France, July 25--31, 1993
Logic Year 1979-80
Author: M. Lerman
Publisher: Springer
ISBN: 3540386734
Category : Mathematics
Languages : en
Pages : 338
Book Description
Publisher: Springer
ISBN: 3540386734
Category : Mathematics
Languages : en
Pages : 338
Book Description
Potential Theory, Copenhagen 1979
Author: Christian Berg
Publisher: Springer
ISBN:
Category : Mathematics
Languages : en
Pages : 344
Book Description
Publisher: Springer
ISBN:
Category : Mathematics
Languages : en
Pages : 344
Book Description
Fine Topology Methods in Real Analysis and Potential Theory
Author: Jaroslav Lukes
Publisher: Springer
ISBN: 3540398147
Category : Mathematics
Languages : en
Pages : 483
Book Description
Publisher: Springer
ISBN: 3540398147
Category : Mathematics
Languages : en
Pages : 483
Book Description