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612-822-4611
Differential Equations on Measures and Functional Spaces

Differential Equations on Measures and Functional Spaces

Hardcover

Series: Birkhäuser Advanced Texts Basler Lehrbücher

General Mathematics

ISBN10: 3030033767
ISBN13: 9783030033767
Publisher: Birkhauser
Published: Jul 1 2019
Pages: 525
Weight: 2.06
Height: 1.19 Width: 6.14 Depth: 9.21
Language: English

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, mutationsand the preferential-attachment growth on networks.

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General Mathematics