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Semilinear Elliptic Equations for Beginners, Qing Jun Hou


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Цена: 203050.00T
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Автор: Qing Jun Hou
Название:  Semilinear Elliptic Equations for Beginners
ISBN: 9781681175690
Издательство: Gazelle Book Services
Классификация:


ISBN-10: 168117569X
Обложка/Формат: Hardback
Страницы: 234
Вес: 0.00 кг.
Дата издания: 01.01.2017
Серия: Mathematics
Язык: English
Размер: 229 x 152
Читательская аудитория: Further/higher education
Ключевые слова: Algebra
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Поставляется из: Англии
Описание: Elliptic equation is a class of partial differential equations describing phenomena that do not change from moment to moment, as when a flow of heat or fluid takes place within a medium with no accumulations. The Laplace equation, uxx + uyy = 0, is the simplest such equation describing this condition in two dimensions. In addition to satisfying a differential equation within the region, the elliptic equation is also determined by its values (boundary values) along the boundary of the region, which represent the effect from outside the region. Semilinear elliptic equations play an important role in many areas of mathematics and its applications to other sciences. Semilinear elliptic equations are of fundamental importance for the study of geometry, physics, mechanics, engineering and life sciences. The variational approach to these equations has experienced spectacular success in recent years, reaching a high level of complexity and refinement, with a multitude of applications. Semilinear Elliptic Equations for Beginners is a comprehensive guide to variational methods and their applications to semilinear elliptic problems. This book deals with nonlinear boundary value problems for semilinear elliptic equations on unbounded domains. This book will be of valuable for professors, practitioners, and researchers in mathematics and mathematical physics.

Global Solution Curves For Semilinear Elliptic Equations

Автор: Korman Philip
Название: Global Solution Curves For Semilinear Elliptic Equations
ISBN: 9814374342 ISBN-13(EAN): 9789814374347
Издательство: World Scientific Publishing
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Цена: 84480.00 T
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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.

Entire Solutions of Semilinear Elliptic Equations

Автор: Ilya A. Kuzin; Stanislav I. Pohozaev
Название: Entire Solutions of Semilinear Elliptic Equations
ISBN: 3034899629 ISBN-13(EAN): 9783034899628
Издательство: Springer
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Цена: 130390.00 T
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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.

Type II Blow Up Manifolds for the Energy Supercritical Semilinear Wave Equation

Автор: Charles Collot
Название: Type II Blow Up Manifolds for the Energy Supercritical Semilinear Wave Equation
ISBN: 147042813X ISBN-13(EAN): 9781470428136
Издательство: Mare Nostrum (Eurospan)
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Цена: 77610.00 T
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Описание: Provides a visual and narrative history of the architectural evolution and urban development of Southwest Florida as shown in Fort Myers. The city`s famed McGregor Boulevard continues to draw visitors with its eclectic blend of houses and unique histories. Jared Beck and Pamela Miner share stories about the creators and owners of these one-of-a-kind properties, accompanied by striking photographs.

Semilinear Evolution Equations and Their Applications

Автор: Diagana Toka
Название: Semilinear Evolution Equations and Their Applications
ISBN: 3030004481 ISBN-13(EAN): 9783030004484
Издательство: Springer
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Цена: 46570.00 T
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Описание: This book, which is a continuation of Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces, presents recent trends and developments upon fractional, first, and second order semilinear difference and differential equations, including degenerate ones. Various stability, uniqueness, and existence results are established using various tools from nonlinear functional analysis and operator theory (such as semigroup methods). Various applications to partial differential equations and the dynamic of populations are amply discussed. This self-contained volume is primarily intended for advanced undergraduate and graduate students, post-graduates and researchers, but may also be of interest to non-mathematicians such as physicists and theoretically oriented engineers. It can also be used as a graduate text on evolution equations and difference equations and their applications to partial differential equations and practical problems arising in population dynamics. For completeness, detailed preliminary background on Banach and Hilbert spaces, operator theory, semigroups of operators, and almost periodic functions and their spectral theory are included as well.

Semilinear Evolution Equations and Their Applications

Автор: Toka Diagana
Название: Semilinear Evolution Equations and Their Applications
ISBN: 3030131149 ISBN-13(EAN): 9783030131142
Издательство: Springer
Рейтинг:
Цена: 46570.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book, which is a continuation of Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces, presents recent trends and developments upon fractional, first, and second order semilinear difference and differential equations, including degenerate ones. Various stability, uniqueness, and existence results are established using various tools from nonlinear functional analysis and operator theory (such as semigroup methods). Various applications to partial differential equations and the dynamic of populations are amply discussed. This self-contained volume is primarily intended for advanced undergraduate and graduate students, post-graduates and researchers, but may also be of interest to non-mathematicians such as physicists and theoretically oriented engineers. It can also be used as a graduate text on evolution equations and difference equations and their applications to partial differential equations and practical problems arising in population dynamics. For completeness, detailed preliminary background on Banach and Hilbert spaces, operator theory, semigroups of operators, and almost periodic functions and their spectral theory are included as well.

Strong and Weak Approximation of Semilinear Stochastic Evolution Equations

Автор: Raphael Kruse
Название: Strong and Weak Approximation of Semilinear Stochastic Evolution Equations
ISBN: 331902230X ISBN-13(EAN): 9783319022307
Издательство: Springer
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Цена: 32600.00 T
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Описание:

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.


Theory and Applications of Abstract Semilinear Cauchy Problems

Автор: Magal Pierre, Ruan Shigui
Название: Theory and Applications of Abstract Semilinear Cauchy Problems
ISBN: 303001505X ISBN-13(EAN): 9783030015053
Издательство: Springer
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Цена: 121110.00 T
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Описание: Several types of differential equations, such as functional differential equation, age-structured models, transport equations, reaction-diffusion equations, and partial differential equations with delay, can be formulated as abstract Cauchy problems with non-dense domain. This monograph provides a self-contained and comprehensive presentation of the fundamental theory of non-densely defined semilinear Cauchy problems and their applications. Starting from the classical Hille-Yosida theorem, semigroup method, and spectral theory, this monograph introduces the abstract Cauchy problems with non-dense domain, integrated semigroups, the existence of integrated solutions, positivity of solutions, Lipschitz perturbation, differentiability of solutions with respect to the state variable, and time differentiability of solutions. Combining the functional analysis method and bifurcation approach in dynamical systems, then the nonlinear dynamics such as the stability of equilibria, center manifold theory, Hopf bifurcation, and normal form theory are established for abstract Cauchy problems with non-dense domain. Finally applications to functional differential equations, age-structured models, and parabolic equations are presented. This monograph will be very valuable for graduate students and researchers in the fields of abstract Cauchy problems, infinite dimensional dynamical systems, and their applications in biological, chemical, medical, and physical problems.



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