عنوان

Differential Equations on Measures and Functional Spaces /

(Number (ISBN

3030033775

(Number (ISBN

9783030033774

Erroneous ISBN

3030033767

Erroneous ISBN

9783030033767

Title Proper

Differential Equations on Measures and Functional Spaces /

General Material Designation

[Book]

First Statement of Responsibility

by Vassili Kolokoltsov.

Place of Publication, Distribution, etc.

Cham :

Name of Publisher, Distributor, etc.

Birkhäuser,

Date of Publication, Distribution, etc.

2019.

Specific Material Designation and Extent of Item

1 online resource (xvi, 525 pages)

Series Title

Birkhäuser Advanced Texts Basler Lehrbücher,

ISSN of Series

1019-6242

Text of Note

Analysis on measures and functional spaces -- Basic ODEs in complete locally convex spaces -- Discrete kinetic systems -- Linear evolutionary equations: foundations -- Linear evolutionary equations: advanced theory -- Method of propagators for nonlinear equations.-Equations in the spaces of weighted measures -- Generalized fractional differential equations -- Appendix.

0

Text of Note

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.

Title

Differential Equations on Measures and Functional Spaces.

International Standard Book Number

9783030033767

Differential equations, Partial.

Differential equations.

Mathematics.

Operator theory.

Differential equations, Partial.

Differential equations.

Mathematics.

Operator theory.

Number

Class number

Kolokolʹt︠s︡ov, V. N., (Vasiliĭ Nikitich)

Date of Transaction

20200823075329.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y