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Analytic Semigroups And Semilinear Initial Boundary Value Problems
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Book Synopsis Analytic Semigroups and Semilinear Initial Boundary Value Problems by : Kazuaki Taira
Download or read book Analytic Semigroups and Semilinear Initial Boundary Value Problems written by Kazuaki Taira and published by Cambridge University Press. This book was released on 2016-04-28 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition explores the relationship between elliptic and parabolic initial boundary value problems, for undergraduate and graduate students.
Book Synopsis Analytic Semigroups and Semilinear Initial Boundary Value Problems by : Kazuaki Taira
Download or read book Analytic Semigroups and Semilinear Initial Boundary Value Problems written by Kazuaki Taira and published by Cambridge University Press. This book was released on 2016-04-28 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: A careful and accessible exposition of a functional analytic approach to initial boundary value problems for semilinear parabolic differential equations, with a focus on the relationship between analytic semigroups and initial boundary value problems. This semigroup approach is distinguished by the extensive use of the ideas and techniques characteristic of the recent developments in the theory of pseudo-differential operators, one of the most influential works in the modern history of analysis. Complete with ample illustrations and additional references, this new edition offers both streamlined analysis and better coverage of important examples and applications. A powerful method for the study of elliptic boundary value problems, capable of further extensive development, is provided for advanced undergraduates or beginning graduate students, as well as mathematicians with an interest in functional analysis and partial differential equations.
Book Synopsis Analytic Semigroups and Semilinear Initial Boundary Value Problems by : Kazuaki Taira
Download or read book Analytic Semigroups and Semilinear Initial Boundary Value Problems written by Kazuaki Taira and published by . This book was released on 1995 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a careful and accessible exposition of initial boundary value problems for semilinear differential equations.
Book Synopsis Semigroups, Boundary Value Problems and Markov Processes by : Kazuaki Taira
Download or read book Semigroups, Boundary Value Problems and Markov Processes written by Kazuaki Taira and published by Springer. This book was released on 2014-08-07 with total page 724 pages. Available in PDF, EPUB and Kindle. Book excerpt: A careful and accessible exposition of functional analytic methods in stochastic analysis is provided in this book. It focuses on the interrelationship between three subjects in analysis: Markov processes, semi groups and elliptic boundary value problems. The author studies a general class of elliptic boundary value problems for second-order, Waldenfels integro-differential operators in partial differential equations and proves that this class of elliptic boundary value problems provides a general class of Feller semigroups in functional analysis. As an application, the author constructs a general class of Markov processes in probability in which a Markovian particle moves both by jumps and continuously in the state space until it 'dies' at the time when it reaches the set where the particle is definitely absorbed. Augmenting the 1st edition published in 2004, this edition includes four new chapters and eight re-worked and expanded chapters. It is amply illustrated and all chapters are rounded off with Notes and Comments where bibliographical references are primarily discussed. Thanks to the kind feedback from many readers, some errors in the first edition have been corrected. In order to keep the book up-to-date, new references have been added to the bibliography. Researchers and graduate students interested in PDEs, functional analysis and probability will find this volume useful.
Book Synopsis Structure of Solutions of Differential Equations by : Takahiro Kawai
Download or read book Structure of Solutions of Differential Equations written by Takahiro Kawai and published by World Scientific. This book was released on 1996 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Effective Results and Methods for Diophantine Equations over Finitely Generated Domains by : Jan-Hendrik Evertse
Download or read book Effective Results and Methods for Diophantine Equations over Finitely Generated Domains written by Jan-Hendrik Evertse and published by Cambridge University Press. This book was released on 2022-04-28 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides exceptional coverage of effective solutions for Diophantine equations over finitely generated domains.
Book Synopsis Invariance of Modules under Automorphisms of their Envelopes and Covers by : Ashish K. Srivastava
Download or read book Invariance of Modules under Automorphisms of their Envelopes and Covers written by Ashish K. Srivastava and published by Cambridge University Press. This book was released on 2021-03-18 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of invariance of modules under automorphisms of their envelopes and covers has opened up a whole new direction in the study of module theory. It offers a new perspective on generalizations of injective, pure-injective and flat-cotorsion modules beyond relaxing conditions on liftings of homomorphisms. This has set off a flurry of work in the area, with hundreds of papers using the theory appearing in the last decade. This book gives the first unified treatment of the topic. The authors are real experts in the area, having played a major part in the breakthrough of this new theory and its subsequent applications. The first chapter introduces the basics of ring and module theory needed for the following sections, making it self-contained and suitable for graduate students. The authors go on to develop and explain their tools, enabling researchers to employ them, extend and simplify known results in the literature and to solve longstanding problems in module theory, many of which are discussed at the end of the book.
Book Synopsis The Genesis of the Langlands Program by : Julia Mueller
Download or read book The Genesis of the Langlands Program written by Julia Mueller and published by Cambridge University Press. This book was released on 2021-08-05 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Robert Langlands formulated his celebrated conjectures, initiating the Langlands Program, at the age of 31, profoundly changing the landscape of mathematics. Langlands, recipient of the Abel Prize, is famous for his insight in discovering links among seemingly dissimilar objects, leading to astounding results. This book is uniquely designed to serve a wide range of mathematicians and advanced students, showcasing Langlands' unique creativity and guiding readers through the areas of Langlands' work that are generally regarded as technical and difficult to penetrate. Part 1 features non-technical personal reflections, including Langlands' own words describing how and why he was led to formulate his conjectures. Part 2 includes survey articles of Langlands' early work that led to his conjectures, and centers on his principle of functoriality and foundational work on the Eisenstein series, and is accessible to mathematicians from other fields. Part 3 describes some of Langlands' contributions to mathematical physics.
Book Synopsis Lectures on Orthogonal Polynomials and Special Functions by : Howard S. Cohl
Download or read book Lectures on Orthogonal Polynomials and Special Functions written by Howard S. Cohl and published by Cambridge University Press. This book was released on 2020-10-15 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by experts in their respective fields, this collection of pedagogic surveys provides detailed insight and background into five separate areas at the forefront of modern research in orthogonal polynomials and special functions at a level suited to graduate students. A broad range of topics are introduced including exceptional orthogonal polynomials, q-series, applications of spectral theory to special functions, elliptic hypergeometric functions, and combinatorics of orthogonal polynomials. Exercises, examples and some open problems are provided. The volume is derived from lectures presented at the OPSF-S6 Summer School at the University of Maryland, and has been carefully edited to provide a coherent and consistent entry point for graduate students and newcomers.
Book Synopsis Differential Geometry in the Large by : Owen Dearricott
Download or read book Differential Geometry in the Large written by Owen Dearricott and published by Cambridge University Press. This book was released on 2020-10-22 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: From Ricci flow to GIT, physics to curvature bounds, Sasaki geometry to almost formality. This is differential geometry at large.
Book Synopsis Facets of Algebraic Geometry by : Paolo Aluffi
Download or read book Facets of Algebraic Geometry written by Paolo Aluffi and published by Cambridge University Press. This book was released on 2022-04-07 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written to honor the enduring influence of William Fulton, these articles present substantial contributions to algebraic geometry.
Book Synopsis Facets of Algebraic Geometry: Volume 2 by : Paolo Aluffi
Download or read book Facets of Algebraic Geometry: Volume 2 written by Paolo Aluffi and published by Cambridge University Press. This book was released on 2022-04-07 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written to honor the 80th birthday of William Fulton, the articles collected in this volume (the second of a pair) present substantial contributions to algebraic geometry and related fields, with an emphasis on combinatorial algebraic geometry and intersection theory. Featured include commutative algebra, moduli spaces, quantum cohomology, representation theory, Schubert calculus, and toric and tropical geometry. The range of these contributions is a testament to the breadth and depth of Fulton's mathematical influence. The authors are all internationally recognized experts, and include well-established researchers as well as rising stars of a new generation of mathematicians. The text aims to stimulate progress and provide inspiration to graduate students and researchers in the field.
Book Synopsis Constrained Willmore Surfaces by : Áurea Casinhas Quintino
Download or read book Constrained Willmore Surfaces written by Áurea Casinhas Quintino and published by Cambridge University Press. This book was released on 2021-06-10 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: From Bäcklund to Darboux, this monograph presents a comprehensive journey through the transformation theory of constrained Willmore surfaces, a topic of great importance in modern differential geometry and, in particular, in the field of integrable systems in Riemannian geometry. The first book on this topic, it discusses in detail a spectral deformation, Bäcklund transformations and Darboux transformations, and proves that all these transformations preserve the existence of a conserved quantity, defining, in particular, transformations within the class of constant mean curvature surfaces in 3-dimensional space-forms, with, furthermore, preservation of both the space-form and the mean curvature, and bridging the gap between different approaches to the subject, classical and modern. Clearly written with extensive references, chapter introductions and self-contained accounts of the core topics, it is suitable for newcomers to the theory of constrained Wilmore surfaces. Many detailed computations and new results unavailable elsewhere in the literature make it also an appealing reference for experts.
Book Synopsis Equivariant Topology and Derived Algebra by : Scott Balchin
Download or read book Equivariant Topology and Derived Algebra written by Scott Balchin and published by Cambridge University Press. This book was released on 2021-11-18 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of research papers, both new and expository, based on the interests of Professor J. P. C. Greenlees.
Book Synopsis Recent Developments in Algebraic Geometry by : Hamid Abban
Download or read book Recent Developments in Algebraic Geometry written by Hamid Abban and published by Cambridge University Press. This book was released on 2022-09-30 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written in celebration of Miles Reid's 70th birthday, this illuminating volume contains 11 papers by leading mathematicians in and around algebraic geometry, broadly related to the themes and interests of Reid's varied career. Just as in Reid's own scientific output, some of the papers give comprehensive accounts of the state of the art of foundational matters, while others give expositions of subject areas or techniques in concrete terms. Reid has been one of the major expositors of algebraic geometry and a great influence on many in this field – this book hopes to inspire a new generation of graduate students and researchers in his tradition.
Book Synopsis Vector-valued Laplace Transforms and Cauchy Problems by : Wolfgang Arendt
Download or read book Vector-valued Laplace Transforms and Cauchy Problems written by Wolfgang Arendt and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear evolution equations in Banach spaces have seen important developments in the last two decades. This is due to the many different applications in the theory of partial differential equations, probability theory, mathematical physics, and other areas, and also to the development of new techniques. One important technique is given by the Laplace transform. It played an important role in the early development of semigroup theory, as can be seen in the pioneering monograph by Rille and Phillips [HP57]. But many new results and concepts have come from Laplace transform techniques in the last 15 years. In contrast to the classical theory, one particular feature of this method is that functions with values in a Banach space have to be considered. The aim of this book is to present the theory of linear evolution equations in a systematic way by using the methods of vector-valued Laplace transforms. It is simple to describe the basic idea relating these two subjects. Let A be a closed linear operator on a Banach space X. The Cauchy problern defined by A is the initial value problern (t 2 0), (CP) {u'(t) = Au(t) u(O) = x, where x E X is a given initial value. If u is an exponentially bounded, continuous function, then we may consider the Laplace transform 00 u(>. ) = 1 e-). . tu(t) dt of u for large real>. .
Book Synopsis Boundary Value Problems and Markov Processes by : Kazuaki Taira
Download or read book Boundary Value Problems and Markov Processes written by Kazuaki Taira and published by Springer Science & Business Media. This book was released on 2009-06-30 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a thorough and accessible exposition on the functional analytic approach to the problem of construction of Markov processes with Ventcel’ boundary conditions in probability theory. It presents new developments in the theory of singular integrals.
