Weakly Nonlocal Solitary Waves and Beyond-All-Orders Asymptotics, John P. Boyd

Автор: Claudia Bucur; Enrico Valdinoci
Название: Nonlocal Diffusion and Applications
ISBN: 3319287389 ISBN-13(EAN): 9783319287386
Издательство: Springer
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Цена: 7685.00 р.
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Описание: Working in the fractional Laplace framework, this book provides models and theorems related to nonlocal diffusion phenomena. In addition to a simple probabilistic interpretation, some applications to water waves, crystal dislocations, nonlocal phase transitions, nonlocal minimal surfaces and Schrodinger equations are given.

Автор: Shahla Molahajloo; Stevan Pilipovi?; Joachim Toft;
Название: Pseudo-Differential Operators, Generalized Functions and Asymptotics
ISBN: 3034808038 ISBN-13(EAN): 9783034808033
Издательство: Springer
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Цена: 16769.00 р.
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Описание: This volume consists of twenty peer-reviewed papers from the special session on pseudodifferential operators and the special session on generalized functions and asymptotics at the Eighth Congress of ISAAC held at the Peoples' Friendship University of Russia in Moscow on August 22‒27, 2011. The category of papers on pseudo-differential operators contains such topics as elliptic operators assigned to diffeomorphisms of smooth manifolds, analysis on singular manifolds with edges, heat kernels and Green functions of sub-Laplacians on the Heisenberg group and Lie groups with more complexities than but closely related to the Heisenberg group, Lp-boundedness of pseudo-differential operators on the torus, and pseudo-differential operators related to time-frequency analysis. The second group of papers contains various classes of distributions and algebras of generalized functions with applications in linear and nonlinear differential equations, initial value problems and boundary value problems, stochastic and Malliavin-type differential equations. This second group of papers are related to the third collection of papers via the setting of Colombeau-type spaces and algebras in which microlocal analysis is developed by means of techniques in asymptotics. The volume contains the synergies of the three areas treated and is a useful complement to volumes 155, 164, 172, 189, 205 and 213 published in the same series in, respectively, 2004, 2006, 2007, 2009, 2010 and 2011.

Автор: Molica Bisci
Название: Variational Methods for Nonlocal Fractional Problems
ISBN: 1107111943 ISBN-13(EAN): 9781107111943
Издательство: Cambridge Academ
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Цена: 21226.00 р.
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Описание: Devoted to the variational analysis of problems described by nonlocal operators, this book will appeal to a wide range of researchers and graduate students in mathematics, especially those interested in nonlinear phenomena. A careful balance is struck between rigorous mathematics and physical applications.

Автор: Alice Guionnet
Название: Large Random Matrices: Lectures on Macroscopic Asymptotics
ISBN: 3540698965 ISBN-13(EAN): 9783540698968
Издательство: Springer
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Цена: 6282.00 р.
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Описание: Random matrix theory has developed in connection with various fields of mathematics and physics. This title includes notes that emphasize the relation with the problem of enumerating complicated graphs, and the related large deviations questions.

Автор: Victor Ivrii
Название: Microlocal Analysis and Precise Spectral Asymptotics
ISBN: 3540627804 ISBN-13(EAN): 9783540627807
Издательство: Springer
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Цена: 20263.00 р.
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Описание: The problem of spectral asymptotics, in particular the problem of the asymptotic dis- tribution of eigenvalues, is one of the central problems in the spectral theory of partial differential operators; to provide furt her progress and only a couple of not very exciting problems remained to be solved.

Автор: Matteo Bonforte; Gabriele Grillo; Jos? Antonio Car
Название: Nonlocal and Nonlinear Diffusions and Interactions: New Methods and Directions
ISBN: 3319614932 ISBN-13(EAN): 9783319614939
Издательство: Springer
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Цена: 6288.00 р.
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Описание: Presenting a selection of topics in the area of nonlocal and nonlinear diffusions, this book places a particular emphasis on new emerging subjects such as nonlocal operators in stationary and evolutionary problems and their applications, swarming models and applications to biology and mathematical physics, and nonlocal variational problems.