Introduction.- Stochastic Evolution Equations in Hilbert Spaces.- Optimal Strong Error Estimates for Galerkin Finite Element Methods.- A Short Review of the Malliavin Calculus in Hilbert Spaces.- A Malliavin Calculus Approach to Weak Convergence.- Numerical Experiments.- Some Useful Variations of Gronwall's Lemma.- Results on Semigroups and their Infinitesimal Generators.- A Generalized Version of Lebesgue's Theorem.- References.- Index.
Автор: Takashi Suzuki Название: Semilinear Elliptic Equations: Classical and Modern Theories ISBN: 3110555352 ISBN-13(EAN): 9783110555356 Издательство: Walter de Gruyter Рейтинг: Цена: 24165.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
The series is devoted to the publication of high-level monographs which cover the whole spectrum of current nonlinear analysis and applications in various fields, such as optimization, control theory, systems theory, mechanics, engineering, and other sciences. One of its main objectives is to make available to the professional community expositions of results and foundations of methods that play an important role in both the theory and applications of nonlinear analysis. Contributions which are on the borderline of nonlinear analysis and related fields and which stimulate further research at the crossroads of these areas are particularly welcome.
Editor-in-Chief Jurgen Appell, Wurzburg, Germany
Honorary and Advisory Editors Catherine Bandle, Basel, Switzerland Alain Bensoussan, Richardson, Texas, USA Avner Friedman, Columbus, Ohio, USA Umberto Mosco, Worcester, Massachusetts, USA
Editorial Board Manuel del Pino, Bath, UK, and Santiago, Chile Mikio Kato, Nagano, Japan Wojciech Kryszewski, Torun, Poland Vicentiu D. Radulescu, Krakow, Poland Simeon Reich, Haifa, Israel
Titles in planning include Ireneo Peral Alonso and Fernando Soria, Elliptic and Parabolic Equations Involving the Hardy–Leray Potential (2020) Cyril Tintarev, Profile Decompositions and Cocompactness: Functional-Analytic Theory of Concentration Compactness (2020) Takashi Suzuki, Semilinear Elliptic Equations: Classical and Modern Theories (2021)
The series is devoted to the publication of high-level monographs which cover the whole spectrum of current nonlinear analysis and applications in various fields, such as optimization, control theory, systems theory, mechanics, engineering, and other sciences. One of its main objectives is to make available to the professional community expositions of results and foundations of methods that play an important role in both the theory and applications of nonlinear analysis. Contributions which are on the borderline of nonlinear analysis and related fields and which stimulate further research at the crossroads of these areas are particularly welcome.
Editor-in-Chief Jurgen Appell, Wurzburg, Germany
Honorary and Advisory Editors Catherine Bandle, Basel, Switzerland Alain Bensoussan, Richardson, Texas, USA Avner Friedman, Columbus, Ohio, USA Umberto Mosco, Worcester, Massachusetts, USA
Editorial Board Manuel del Pino, Bath, UK, and Santiago, Chile Mikio Kato, Nagano, Japan Wojciech Kryszewski, Torun, Poland Vicentiu D. Radulescu, Krakow, Poland Simeon Reich, Haifa, Israel
Titles in planning include Ireneo Peral Alonso and Fernando Soria, Elliptic and Parabolic Equations Involving the Hardy–Leray Potential (2020) Cyril Tintarev, Profile Decompositions and Cocompactness: Functional-Analytic Theory of Concentration Compactness (2020) Takashi Suzuki, Semilinear Elliptic Equations: Classical and Modern Theories (2021)
Автор: Korman Philip Название: Global Solution Curves For Semilinear Elliptic Equations ISBN: 9814374342 ISBN-13(EAN): 9789814374347 Издательство: World Scientific Publishing Рейтинг: Цена: 12672.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Provides an introduction to the bifurcation theory approach to global solution curves and studies the exact multiplicity of solutions for semilinear Dirichlet problems, aiming to obtain a complete understanding of the solution set.
Описание: The nature of time in a nonautonomous dynamical system is very different from that in autonomous systems, which depend only on the time that has elapsed since starting rather than on the actual time itself.
Автор: Ladyzhenskaya, Olga A. Название: Attractors for semigroups and evolution equations ISBN: 1009229826 ISBN-13(EAN): 9781009229821 Издательство: Cambridge Academ Рейтинг: Цена: 3166.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Olga A. Ladyzhenskaya expands on her 1991 lectures on attractors for semigroups and evolution equations. This edition includes a technical introduction surveying Ladyzhenskaya`s work in the field and subsequent developments. It is essential reading for anyone interested in her approach to partial differential equations and dynamical systems.
Автор: Pankov Mark Название: Geometry of Semilinear Embeddings: Relations to Graphs and Codes ISBN: 9814651079 ISBN-13(EAN): 9789814651073 Издательство: World Scientific Publishing Рейтинг: Цена: 12355.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This volume covers semilinear embeddings of vector spaces over division rings and the associated mappings of Grassmannians.
This unique book's subject is meanders (connected, oriented, non-self-intersecting planar curves intersecting the horizontal line transversely) in the context of dynamical systems. By interpreting the transverse intersection points as vertices and the arches arising from these curves as directed edges, meanders are introduced from the graphtheoretical perspective. Supplementing the rigorous results, mathematical methods, constructions, and examples of meanders with a large number of insightful figures, issues such as connectivity and the number of connected components of meanders are studied in detail with the aid of collapse and multiple collapse, forks, and chambers. Moreover, the author introduces a large class of Morse meanders by utilizing the right and left one-shift maps, and presents connections to Sturm global attractors, seaweed and Frobenius Lie algebras, and the classical Yang-Baxter equation.
Contents
Seaweed Meanders
Meanders
Morse Meanders and Sturm Global Attractors
Right and Left One-Shifts
Connection Graphs of Type I, II, III and IV
Meanders and the Temperley-Lieb Algebra
Representations of Seaweed Lie Algebras
CYBE and Seaweed Meanders
Автор: Tepper L. Gill; Woodford W. Zachary Название: Nonlinear Semigroups, Partial Differential Equations and Attractors ISBN: 3540515941 ISBN-13(EAN): 9783540515944 Издательство: Springer Рейтинг: Цена: 4884.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The original idea of the organizers of the Washington Symposium was to span a fairly narrow range of topics on some techniques developed for the investigation of nonlinear partial differential equations and discuss these in a forum of experts. This proceedings volume offers coverage of a wider range of research topics.
Автор: Ilya A. Kuzin; Stanislav I. Pohozaev Название: Entire Solutions of Semilinear Elliptic Equations ISBN: 3034899629 ISBN-13(EAN): 9783034899628 Издательство: Springer Рейтинг: Цена: 19559.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Semilinear elliptic equations play an important role in many areas of mathematics and its applications to other sciences. This book presents a wealth of modern methods to solve such equations.Readers of this exposition will be advanced students and researchers in mathematics, physics and other.
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