The Cauchy Problem For Non Lipschitz Semi Linear Parabolic Partial Differential Equations

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The Cauchy Problem for Non-Lipschitz Semi-Linear Parabolic Partial Differential Equations

Author : J. C. Meyer
Publisher : Cambridge University Press
ISBN 13 : 1316301079
Total Pages : 177 pages
Book Rating : 4.3/5 (163 download)

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Book Synopsis The Cauchy Problem for Non-Lipschitz Semi-Linear Parabolic Partial Differential Equations by : J. C. Meyer

Download or read book The Cauchy Problem for Non-Lipschitz Semi-Linear Parabolic Partial Differential Equations written by J. C. Meyer and published by Cambridge University Press. This book was released on 2015-10-22 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reaction-diffusion theory is a topic which has developed rapidly over the last thirty years, particularly with regards to applications in chemistry and life sciences. Of particular importance is the analysis of semi-linear parabolic PDEs. This monograph provides a general approach to the study of semi-linear parabolic equations when the nonlinearity, while failing to be Lipschitz continuous, is Hölder and/or upper Lipschitz continuous, a scenario that is not well studied, despite occurring often in models. The text presents new existence, uniqueness and continuous dependence results, leading to global and uniformly global well-posedness results (in the sense of Hadamard). Extensions of classical maximum/minimum principles, comparison theorems and derivative (Schauder-type) estimates are developed and employed. Detailed specific applications are presented in the later stages of the monograph. Requiring only a solid background in real analysis, this book is suitable for researchers in all areas of study involving semi-linear parabolic PDEs.

The Cauchy Problem for Non-Lipschitz Semi-linear Parabolic Partial Differential Equations

Author : John Christopher Meyer
Publisher :
ISBN 13 : 9781316321119
Total Pages : 167 pages
Book Rating : 4.3/5 (211 download)

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Book Synopsis The Cauchy Problem for Non-Lipschitz Semi-linear Parabolic Partial Differential Equations by : John Christopher Meyer

Download or read book The Cauchy Problem for Non-Lipschitz Semi-linear Parabolic Partial Differential Equations written by John Christopher Meyer and published by . This book was released on 2015 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Cauchy Problem for Non-Lipschitz Semi-Linear Parabolic Partial Differential Equations

Author : J. C. Meyer
Publisher : Cambridge University Press
ISBN 13 : 1107477395
Total Pages : 177 pages
Book Rating : 4.1/5 (74 download)

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Book Synopsis The Cauchy Problem for Non-Lipschitz Semi-Linear Parabolic Partial Differential Equations by : J. C. Meyer

Theory and Applications of Abstract Semilinear Cauchy Problems

Author : Pierre Magal
Publisher : Springer
ISBN 13 : 3030015068
Total Pages : 543 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Theory and Applications of Abstract Semilinear Cauchy Problems by : Pierre Magal

Download or read book Theory and Applications of Abstract Semilinear Cauchy Problems written by Pierre Magal and published by Springer. This book was released on 2018-11-21 with total page 543 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Partial Differential Equations in Fluid Mechanics

Author : Charles L. Fefferman
Publisher : Cambridge University Press
ISBN 13 : 1108573592
Total Pages : 339 pages
Book Rating : 4.1/5 (85 download)

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Book Synopsis Partial Differential Equations in Fluid Mechanics by : Charles L. Fefferman

Download or read book Partial Differential Equations in Fluid Mechanics written by Charles L. Fefferman and published by Cambridge University Press. This book was released on 2018-09-27 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Euler and Navier–Stokes equations are the fundamental mathematical models of fluid mechanics, and their study remains central in the modern theory of partial differential equations. This volume of articles, derived from the workshop 'PDEs in Fluid Mechanics' held at the University of Warwick in 2016, serves to consolidate, survey and further advance research in this area. It contains reviews of recent progress and classical results, as well as cutting-edge research articles. Topics include Onsager's conjecture for energy conservation in the Euler equations, weak-strong uniqueness in fluid models and several chapters address the Navier–Stokes equations directly; in particular, a retelling of Leray's formative 1934 paper in modern mathematical language. The book also covers more general PDE methods with applications in fluid mechanics and beyond. This collection will serve as a helpful overview of current research for graduate students new to the area and for more established researchers.

Partial Differential Equations arising from Physics and Geometry

Author : Mohamed Ben Ayed
Publisher : Cambridge University Press
ISBN 13 : 1108431631
Total Pages : 471 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis Partial Differential Equations arising from Physics and Geometry by : Mohamed Ben Ayed

Download or read book Partial Differential Equations arising from Physics and Geometry written by Mohamed Ben Ayed and published by Cambridge University Press. This book was released on 2019-05-02 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the state of the art in PDEs, including the latest research and short courses accessible to graduate students.

Effective Results and Methods for Diophantine Equations over Finitely Generated Domains

Author : Jan-Hendrik Evertse
Publisher : Cambridge University Press
ISBN 13 : 1009005855
Total Pages : 241 pages
Book Rating : 4.0/5 (9 download)

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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.

Facets of Algebraic Geometry

Author : Paolo Aluffi
Publisher : Cambridge University Press
ISBN 13 : 1108792502
Total Pages : 417 pages
Book Rating : 4.1/5 (87 download)

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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.

Facets of Algebraic Geometry: Volume 2

Author : Paolo Aluffi
Publisher : Cambridge University Press
ISBN 13 : 1108890547
Total Pages : 396 pages
Book Rating : 4.1/5 (88 download)

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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.

Equivariant Topology and Derived Algebra

Author : Scott Balchin
Publisher : Cambridge University Press
ISBN 13 : 1108931944
Total Pages : 357 pages
Book Rating : 4.1/5 (89 download)

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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.

Recent Developments in Algebraic Geometry

Author : Hamid Abban
Publisher : Cambridge University Press
ISBN 13 : 1009190822
Total Pages : 368 pages
Book Rating : 4.0/5 (91 download)

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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.

Surveys in Combinatorics 2021

Author : Konrad K. Dabrowski
Publisher : Cambridge University Press
ISBN 13 : 1009018884
Total Pages : 379 pages
Book Rating : 4.0/5 (9 download)

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Book Synopsis Surveys in Combinatorics 2021 by : Konrad K. Dabrowski

Download or read book Surveys in Combinatorics 2021 written by Konrad K. Dabrowski and published by Cambridge University Press. This book was released on 2021-06-24 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: These nine articles provide up-to-date surveys of topics of contemporary interest in combinatorics.

(Co)end Calculus

Author : Fosco Loregian
Publisher : Cambridge University Press
ISBN 13 : 1108746128
Total Pages : 331 pages
Book Rating : 4.1/5 (87 download)

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Book Synopsis (Co)end Calculus by : Fosco Loregian

Download or read book (Co)end Calculus written by Fosco Loregian and published by Cambridge University Press. This book was released on 2021-07-22 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: This easy-to-cite handbook gives the first systematic treatment of the (co)end calculus in category theory and its applications.

Differential Geometry in the Large

Author : Owen Dearricott
Publisher : Cambridge University Press
ISBN 13 : 1108812813
Total Pages : 401 pages
Book Rating : 4.1/5 (88 download)

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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.

Introduction to Hidden Semi-Markov Models

Author : John van der Hoek
Publisher : Cambridge University Press
ISBN 13 : 1108383904
Total Pages : 186 pages
Book Rating : 4.1/5 (83 download)

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Book Synopsis Introduction to Hidden Semi-Markov Models by : John van der Hoek

Download or read book Introduction to Hidden Semi-Markov Models written by John van der Hoek and published by Cambridge University Press. This book was released on 2018-02-08 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: Markov chains and hidden Markov chains have applications in many areas of engineering and genomics. This book provides a basic introduction to the subject by first developing the theory of Markov processes in an elementary discrete time, finite state framework suitable for senior undergraduates and graduates. The authors then introduce semi-Markov chains and hidden semi-Markov chains, before developing related estimation and filtering results. Genomics applications are modelled by discrete observations of these hidden semi-Markov chains. This book contains new results and previously unpublished material not available elsewhere. The approach is rigorous and focused on applications.

Invariance of Modules under Automorphisms of their Envelopes and Covers

Author : Ashish K. Srivastava
Publisher : Cambridge University Press
ISBN 13 : 1108960162
Total Pages : 235 pages
Book Rating : 4.1/5 (89 download)

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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.

The Genesis of the Langlands Program

Author : Julia Mueller
Publisher : Cambridge University Press
ISBN 13 : 1108619959
Total Pages : 452 pages
Book Rating : 4.1/5 (86 download)

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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.