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Differential Equations on Measures and Functional Spaces (Hardcover, 1st ed. 2019)
Loot Price: R2,558
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Differential Equations on Measures and Functional Spaces (Hardcover, 1st ed. 2019)
Series: Birkhauser Advanced Texts / Basler Lehrbucher
Expected to ship within 10 - 15 working days
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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.
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