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Author : Yoshitaka Uda
Publisher :
ISBN 13 :
Total Pages : 224 pages
Book Rating : 4.:/5 (296 download)
Download or read book Fujita Type Global Existence written by Yoshitaka Uda and published by . This book was released on 1993 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Pavol Quittner
Publisher : Springer Science & Business Media
ISBN 13 : 3764384425
Total Pages : 593 pages
Book Rating : 4.7/5 (643 download)
Download or read book Superlinear Parabolic Problems written by Pavol Quittner and published by Springer Science & Business Media. This book was released on 2007-12-16 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the qualitative study of solutions of superlinear elliptic and parabolic partial differential equations and systems. This class of problems contains, in particular, a number of reaction-diffusion systems which arise in various mathematical models, especially in chemistry, physics and biology. The book is self-contained and up-to-date, taking special care on the didactical preparation of the material. It is devoted to problems that are intensively studied but have not been treated thus far in depth in the book literature.
Author : Walter A. Strauss
Publisher : American Mathematical Soc.
ISBN 13 : 0821807250
Total Pages : 106 pages
Book Rating : 4.8/5 (218 download)
Download or read book Nonlinear Wave Equations written by Walter A. Strauss and published by American Mathematical Soc.. This book was released on 1990-01-12 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of nonlinear wave equations in the absence of shocks began in the 1960s. Despite a great deal of recent activity in this area, some major issues remain unsolved, such as sharp conditions for the global existence of solutions with arbitrary initial data, and the global phase portrait in the presence of periodic solutions and traveling waves. This book, based on lectures presented by the author at George Mason University in January 1989, seeks to present the sharpest results to date in this area. The author surveys the fundamental qualitative properties of the solutions of nonlinear wave equations in the absence of boundaries and shocks. These properties include the existence and regularity of global solutions, strong and weak singularities, asymptotic properties, scattering theory and stability of solitary waves. Wave equations of hyperbolic, Schrodinger, and KdV type are discussed, as well as the Yang-Mills and the Vlasov-Maxwell equations. The book offers readers a broad overview of the field and an understanding of the most recent developments, as well as the status of some important unsolved problems. Intended for mathematicians and physicists interested in nonlinear waves, this book would be suitable as the basis for an advanced graduate-level course.
Author : Prof. Dr. Pavol Quittner
Publisher : Springer
ISBN 13 : 3030182223
Total Pages : 719 pages
Book Rating : 4.0/5 (31 download)
Download or read book Superlinear Parabolic Problems written by Prof. Dr. Pavol Quittner and published by Springer. This book was released on 2019-06-13 with total page 719 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the qualitative study of solutions of superlinear elliptic and parabolic partial differential equations and systems. This class of problems contains, in particular, a number of reaction-diffusion systems which arise in various mathematical models, especially in chemistry, physics and biology. The first two chapters introduce to the field and enable the reader to get acquainted with the main ideas by studying simple model problems, respectively of elliptic and parabolic type. The subsequent three chapters are devoted to problems with more complex structure; namely, elliptic and parabolic systems, equations with gradient depending nonlinearities, and nonlocal equations. They include many developments which reflect several aspects of current research. Although the techniques introduced in the first two chapters provide efficient tools to attack some aspects of these problems, they often display new phenomena and specifically different behaviors, whose study requires new ideas. Many open problems are mentioned and commented. The book is self-contained and up-to-date, it has a high didactic quality. It is devoted to problems that are intensively studied but have not been treated so far in depth in the book literature. The intended audience includes graduate and postgraduate students and researchers working in the field of partial differential equations and applied mathematics. The first edition of this book has become one of the standard references in the field. This second edition provides a revised text and contains a number of updates reflecting significant recent advances that have appeared in this growing field since the first edition.
Author : Bei Hu
Publisher : Springer Science & Business Media
ISBN 13 : 3642184596
Total Pages : 137 pages
Book Rating : 4.6/5 (421 download)
Download or read book Blow-up Theories for Semilinear Parabolic Equations written by Bei Hu and published by Springer Science & Business Media. This book was released on 2011-03-23 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt: There is an enormous amount of work in the literature about the blow-up behavior of evolution equations. It is our intention to introduce the theory by emphasizing the methods while seeking to avoid massive technical computations. To reach this goal, we use the simplest equation to illustrate the methods; these methods very often apply to more general equations.
Author : Marcelo R. Ebert
Publisher : Birkhäuser
ISBN 13 : 3319664565
Total Pages : 473 pages
Book Rating : 4.3/5 (196 download)
Download or read book Methods for Partial Differential Equations written by Marcelo R. Ebert and published by Birkhäuser. This book was released on 2018-02-23 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an overview of different topics related to the theory of partial differential equations. Selected exercises are included at the end of each chapter to prepare readers for the “research project for beginners” proposed at the end of the book. It is a valuable resource for advanced graduates and undergraduate students who are interested in specializing in this area. The book is organized in five parts: In Part 1 the authors review the basics and the mathematical prerequisites, presenting two of the most fundamental results in the theory of partial differential equations: the Cauchy-Kovalevskaja theorem and Holmgren's uniqueness theorem in its classical and abstract form. It also introduces the method of characteristics in detail and applies this method to the study of Burger's equation. Part 2 focuses on qualitative properties of solutions to basic partial differential equations, explaining the usual properties of solutions to elliptic, parabolic and hyperbolic equations for the archetypes Laplace equation, heat equation and wave equation as well as the different features of each theory. It also discusses the notion of energy of solutions, a highly effective tool for the treatment of non-stationary or evolution models and shows how to define energies for different models. Part 3 demonstrates how phase space analysis and interpolation techniques are used to prove decay estimates for solutions on and away from the conjugate line. It also examines how terms of lower order (mass or dissipation) or additional regularity of the data may influence expected results. Part 4 addresses semilinear models with power type non-linearity of source and absorbing type in order to determine critical exponents: two well-known critical exponents, the Fujita exponent and the Strauss exponent come into play. Depending on concrete models these critical exponents divide the range of admissible powers in classes which make it possible to prove quite different qualitative properties of solutions, for example, the stability of the zero solution or blow-up behavior of local (in time) solutions. The last part features selected research projects and general background material.
Author : Luigi Rodino
Publisher : World Scientific
ISBN 13 : 9814543403
Total Pages : 332 pages
Book Rating : 4.8/5 (145 download)
Download or read book Partial Differential Equations And Their Applications - Proceedings Of The Conference written by Luigi Rodino and published by World Scientific. This book was released on 1999-11-26 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume reports the recent progress in linear and nonlinear partial differential equations, microlocal analysis, singular partial differential operators, spectral analysis and hyperfunction theory.
Author : Masahisa Fujita
Publisher : Cambridge University Press
ISBN 13 : 9780521805247
Total Pages : 484 pages
Book Rating : 4.8/5 (52 download)
Download or read book Economics of Agglomeration written by Masahisa Fujita and published by Cambridge University Press. This book was released on 2002-05-02 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the first unifying treatment of the range of economic reasons for the clustering of firms and households. Its goal is to explain further the trade-off between various forms of increasing returns and different types of mobility costs. Although referring to agglomeration as a generic term is convenient, it should be noted that the concept of economic agglomeration refers to distinct real world situations. The main focus of the treatment is on cities, but it also explores the formation of agglomerations, such as commercial districts within cities, industrial clusters at the regional level, and the existence of imbalance between regions. The book is rooted within the realm of modern economics and borrows concepts from geography and regional science, which makes it accessible to a broad audience formed by economists, geographers, regional planners, and other scientists. It may be used in coursework for graduate students and upper-level undergraduates.
Author : Dorothee Haroske
Publisher : Birkhäuser
ISBN 13 : 3034880359
Total Pages : 462 pages
Book Rating : 4.0/5 (348 download)
Download or read book Function Spaces, Differential Operators and Nonlinear Analysis written by Dorothee Haroske and published by Birkhäuser. This book was released on 2012-12-06 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is dedicated to our teacher and friend Hans Triebel. The core of the book is based on lectures given at the International Conference "Function Spaces, Differential Operators and Nonlinear Analysis" (FSDONA--01) held in Teistungen, Thuringia / Germany, from June 28 to July 4,2001, in honour of his 65th birthday. This was the fifth in a series of meetings organised under the same name by scientists from Finland (Helsinki, Oulu) , the Czech Republic (Prague, Plzen) and Germany (Jena) promoting the collaboration of specialists in East and West, working in these fields. This conference was a very special event because it celebrated Hans Triebel's extraordinary impact on mathematical analysis. The development of the mod ern theory of function spaces in the last 30 years and its application to various branches in both pure and applied mathematics is deeply influenced by his lasting contributions. In a series of books Hans Triebel has given systematic treatments of the theory of function spaces from different points of view, thus revealing its interdependence with interpolation theory, harmonic analysis, partial differential equations, nonlinear operators, entropy, spectral theory and, most recently, anal ysis on fractals. The presented collection of papers is a tribute to Hans Triebel's distinguished work. The book is subdivided into three parts: • Part I contains the two invited lectures by O.V. Besov (Moscow) and D.E. Edmunds (Sussex) having a survey character and honouring Hans Triebel's contributions.
Author : Ireneo Peral Alonso
Publisher :
ISBN 13 : 9783110603460
Total Pages : 450 pages
Book Rating : 4.6/5 (34 download)
Download or read book Elliptic and Parabolic Equations Involving the Hardy-Leray Potential written by Ireneo Peral Alonso and published by . This book was released on 2021-02-26 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: The scientific literature on the Hardy-Leray inequality, also known as the uncertainty principle, is very extensive and scattered. The Hardy-Leray potential shows an extreme spectral behavior and a peculiar influence on diffusion problems, both stationary and evolutionary. In this book, a big part of the scattered knowledge about these different behaviors is collected in a unified and comprehensive presentation.
Author :
Publisher :
ISBN 13 :
Total Pages : 504 pages
Book Rating : 4.3/5 (91 download)
Download or read book Differential and Integral Equations written by and published by . This book was released on 2007 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ireneo Peral Alonso
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110605600
Total Pages : 406 pages
Book Rating : 4.1/5 (16 download)
Download or read book Elliptic and Parabolic Equations Involving the Hardy-Leray Potential written by Ireneo Peral Alonso and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-02-22 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: The scientific literature on the Hardy-Leray inequality, also known as the uncertainty principle, is very extensive and scattered. The Hardy-Leray potential shows an extreme spectral behavior and a peculiar influence on diffusion problems, both stationary and evolutionary. In this book, a big part of the scattered knowledge about these different behaviors is collected in a unified and comprehensive presentation.
Author : Kuniko Fujita
Publisher : Routledge
ISBN 13 : 1317065344
Total Pages : 442 pages
Book Rating : 4.3/5 (17 download)
Download or read book Residential Segregation in Comparative Perspective written by Kuniko Fujita and published by Routledge. This book was released on 2016-04-08 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: We know very little about variations in urban class and ethnic segregation among nations and even less about differences among cities in different regions of the world. Spatial organization (places and neighbourhoods) matters significantly in some cities in reproducing class relations and ethno-racial hierarchies, but may be much less important in others. The degree and the impact of segregation depend upon contextual diversity. By emphasizing the importance of contextual diversity in the study of urban residential segregation, the book questions currently popular urban theories such as global city, neoliberal urbanism, and gentrification. These theories tend to dissociate cities from their national and regional context and thus ignore their history, culture, politics and institutions. The aim of this book is to introduce the significantly different urban experiences in social and spatial segregation patterns and rationales which exist among the world's regions and to demonstrate that urban theory needs to draw systematically upon this wide range of experiences. The cities selected (Athens, Beijing, Budapest, Copenhagen, Hong Kong, Madrid, Paris, São Paulo, Taipei, and Tokyo) were chosen in order to achieve geographical spread, to maximise the diversity of types of socioeconomic regulation.This volume is thus able to avoid the interpretative limitations and misconstructions resulting from universalizing the Anglo-American experience.
Author : Marcello D'Abbicco
Publisher : Springer
ISBN 13 : 3030109372
Total Pages : 390 pages
Book Rating : 4.0/5 (31 download)
Download or read book New Tools for Nonlinear PDEs and Application written by Marcello D'Abbicco and published by Springer. This book was released on 2019-05-07 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book features a collection of papers devoted to recent results in nonlinear partial differential equations and applications. It presents an excellent source of information on the state-of-the-art, new methods, and trends in this topic and related areas. Most of the contributors presented their work during the sessions "Recent progress in evolution equations" and "Nonlinear PDEs" at the 12th ISAAC congress held in 2017 in Växjö, Sweden. Even if inspired by this event, this book is not merely a collection of proceedings, but a stand-alone project gathering original contributions from active researchers on the latest trends in nonlinear evolution PDEs.
Author :
Publisher :
ISBN 13 :
Total Pages : 902 pages
Book Rating : 4.X/5 (6 download)
Download or read book Mathematical Reviews written by and published by . This book was released on 2001 with total page 902 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Aleksandr Andreevich Samarskiĭ
Publisher : Walter de Gruyter
ISBN 13 : 9783110127546
Total Pages : 570 pages
Book Rating : 4.1/5 (275 download)
Download or read book Blow-up in Quasilinear Parabolic Equations written by Aleksandr Andreevich Samarskiĭ and published by Walter de Gruyter. This book was released on 1995 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Blow-Up in Quasilinear Parabolic Equations".
Author :
Publisher :
ISBN 13 :
Total Pages : 526 pages
Book Rating : 4.3/5 (91 download)
Download or read book Journal of analysis and its application written by and published by . This book was released on 2003 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt:
