Extending the well-known connection between classical linear potential theory
and probability theory (through the interplay between harmonic functions and
martingales) to the nonlinear case of tug-of-war games and their related partial
differential equations, this unique book collects several results in this direction
and puts them in an elementary perspective in a lucid and self-contained fashion.
* The first book on the subject of game theory and partial differential equations
* Written by one of the main experts in the area
* Of interest to researchers and graduate students in partial differential equations and applications
Pablo Blanc and Julio D. Rossi, University of Buenos Aires, Argentina.
De Gruyter Series in Nonlinear Analysis and Applications
Approx. xii, 140 pages, 7 Figures (bw)
Hardcover:
ISBN 978-3-11-061925-6
Date of Publication: August 2019
Language of Publication: English
Subjects: Analysis, Applied Mathematics
Differential Equations and Dynamical Systems
Probability and Statistics
Of interest to: Researchers and graduate students in partial differential equations
and applied mathematics
This book focuses on problems at the interplay between the theory of partitions
and optimal transport with a view toward applications. Topics covered include
problems related to stable marriages and stable partitions, multipartitions,
optimal transport for measures and optimal partitions, and finally cooperative
and noncooperative partitions. All concepts presented are illustrated by
examples from game theory, economics, and learning.
* Presents optimal transport with a view toward applications in game theory and economics
* Covers the interplay between the theory of partitions and optimal transport
* Of interest to researchers and graduate students in applied mathematics
Gershon Wolansky, Technion - Israel Institute of Technology, Israel.
De Gruyter Series in Nonlinear Analysis and Applications
Approx. xii, 250 pages, 10 Figures (bw)
Hardcover:
Date of Publication: August 2019
Language of Publication: English
Subjects: Analysis
Applied Mathematics
Differential Equations and Dynamical Systems
Of interest to: Researchers and graduate students in mathematical analysis and
applied mathematics.
Anomalous Improved Homogenization
The behavior of materials at the nanoscale is a key aspect of modern
nanoscience and nanotechnology. This book presents rigorous mathematical
techniques showing that some very useful phenomenological properties which
can be observed at the nanoscale in many nonlinear reaction-diffusion processes
can be simulated and justified mathematically by means of homogenization
processes when a certain critical scale is used in the corresponding framework.
* An advanced monograph on reaction-diffusion processes for nanocomposites
* Covers in detail all related techniques in anomalous homogenization
* Of interest to researchers and graduate students in PDE's and applications
J. I. Diaz and D. Gomez-Castro, Complutense University of Madrid, Spain; T.
A. Shaposhnikova, Lomonosov Moscow State University, Russia.
De Gruyter Series in Nonlinear Analysis and Applications
Approx. xii, 180 pages, 10 Figures (bw),
3 Schedule (bw)
Hardcover:
ISBN 978-3-11-064727-3
Date of Publication: September 2019
Language of Publication: English
Subjects: Analysis
Applied Mathematics
Differential Equations and Dynamical Systems
Of interest to: Researchers and graduate students in partial differential equations
and applied mathematics
This is the first part of the third corrected and extended edition of a well
established monograph. It is an introduction to function spaces defined in terms
of differentiability and integrability classes. It provides a catalogue of various
spaces and benefits as a handbook for those who use function spaces to study
other topics such as partial differential equations. Volume 1 deals with Banach
function spaces, Volume 2 with Sobolev-type spaces.
* Serves as a handbook for a variety of function spaces.
* 3 rd corrected and extended edition.
* New aspects to Lorentz spaces and Orlicz spaces will be added.
"The volume under review contains both basic and less known results regarding
various spaces of integrable functions and will remain an important source of
information for students and researchers alike. It is a book which any reader
interested in the theory of spaces of scalar-valued integrable functions should
consult." Mathematical Reviews
Lubo Pick, Oldich John, Charles Univ., Prague, Czech Rep.;Alois Kufner,
The Academy of Sci., Prague, Czech Rep.; Svatopluk Fuik †.
De Gruyter Series in Nonlinear Analysis and Applications 14
xv, 500 pages,
10 Figures (bw)
Hardcover:
ISBN 978-3-11-058177-5
Date of Publication: October 2019
Language of Publication: English
Subjects: Analysis
Of interest to: Research and graduate students in mathematical analysis
Focusing on harmonic analysis problems related to Schrodinger operators, this
book presents state-of-the-art methods and techniques in harmonic analysis
along with functional and nonlinear analysis in phase space. Moreover,
applications in linear and nonlinear partial differential equations are discussed in
detail. With extensive examples, this book is an essential reference to
researchers and graduate students working in the field.
* Introduces advanced methods of harmonic analysis in the study of Schrodinger operators
* Discusses spectral-theoretic results in physics and geometry
* Includes extensive examples to show interactions between analysis, potential theory, and PDEs
Shijun Zheng, Georgia Southern University, USA; Jiqiang Zheng, Institute of
Applied Physics and Computational Mathematics, China.
Advances in Analysis and Geometry
Approx. x, 355 pages, 10 Figures (bw),
5 Figures (c), 20 Schedule (bw)
Hardcover:
ISBN 978-3-11-052499-4
Date of Publication: July 2021
Language of Publication: English
Subjects: Analysis
Differential Equations and Dynamical Systems
Of interest to: Researchers and graduate
students in partial differential equations
and mathematical physics.