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Birkhäuser Advanced Texts Basler Lehrbücher

Differential Equations on Measures and Functional Spaces

Authors: Kolokoltsov, Vassili

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  • Combines uniquely deep abstract theory and the analysis of concrete equations
  • Offers links to probability, control theory, game theory and interacting particles
  • Exposes systematically the topic from its beginnings up to modern research results
  • Introduces a new methodology of fast and unifying analysis of various equations inspired by modern developments in fractional calculus and in the theory of semigroups
  • Includes previously unpublished material
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eBook 59,49 €
price for Korea, Republic of (South Korea) (gross)
  • ISBN 978-3-030-03377-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 69,99 €
price for Korea, Republic of (South Korea) (gross)
  • ISBN 978-3-030-03376-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

This advanced book focuses on ordinary differential equations (ODEs) in Banach and more general locally convex spaces, most notably the ODEs on measures and various function spaces. It briefly discusses the fundamentals before moving on to the cutting edge research in linear and nonlinear partial and pseudo-differential equations, general kinetic equations and fractional evolutions. The level of generality chosen is suitable for the study of the most important nonlinear equations of mathematical physics, such as Boltzmann, Smoluchovskii, Vlasov, Landau-Fokker-Planck, Cahn-Hilliard, Hamilton-Jacobi-Bellman, nonlinear Schroedinger, McKean-Vlasov diffusions and their nonlocal extensions, mass-action-law kinetics from chemistry. It also covers nonlinear evolutions arising in evolutionary biology and mean-field games, optimization theory, epidemics and system biology, in general models of interacting particles or agents describing splitting and merging, collisions and breakage, mutations and the preferential-attachment growth on networks.


The book is intended mainly for upper undergraduate and graduate students, but is also of use to researchers in differential equations and their applications. It particularly highlights the interconnections between various topics revealing where and how a particular result is used in other chapters or may be used in other contexts, and also clarifies the links between the languages of pseudo-differential operators, generalized functions, operator theory, abstract linear spaces, fractional calculus and path integrals. 

About the authors

Vassili Kolokoltsov is a Professor at the University of Warwick with more than 100 papers and several monographs published. His general research interests are probability and stochastic processes, optimization and games with applications to business, biology and finances, mathematical physics, differential equations and functional analysis.

Table of contents (9 chapters)

Table of contents (9 chapters)

Buy this book

eBook 59,49 €
price for Korea, Republic of (South Korea) (gross)
  • ISBN 978-3-030-03377-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 69,99 €
price for Korea, Republic of (South Korea) (gross)
  • ISBN 978-3-030-03376-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Differential Equations on Measures and Functional Spaces
Authors
Series Title
Birkhäuser Advanced Texts Basler Lehrbücher
Copyright
2019
Publisher
Birkhäuser Basel
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-03377-4
DOI
10.1007/978-3-030-03377-4
Hardcover ISBN
978-3-030-03376-7
Series ISSN
1019-6242
Edition Number
1
Number of Pages
XVI, 525
Topics