Fuchsian Reduction

Author : Satyanad Kichenassamy
Publisher : Springer Science & Business Media
ISBN 13 : 081764637X
Total Pages : 296 pages
Book Rating : 4.70/5 ( download)

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Download or read book Fuchsian Reduction written by Satyanad Kichenassamy and published by Springer Science & Business Media. This book was released on 2007-09-14 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This four-part text beautifully interweaves theory and applications in Fuchsian Reduction. Background results in weighted Sobolev and Holder spaces as well as Nash-Moser implicit function theorem are provided. Most chapters contain a problem section and notes with references to the literature. This volume can be used as a text in graduate courses in PDEs and/or Algebra, or as a resource for researchers working with applications to Fuchsian Reduction. The comprehensive approach features the inclusion of problems and bibliographic notes.

Author : Alexander D. Bruno
Publisher : Walter de Gruyter
ISBN 13 : 311027566X
Total Pages : 288 pages
Book Rating : 4.67/5 ( download)

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Download or read book Painlevé Equations and Related Topics written by Alexander D. Bruno and published by Walter de Gruyter. This book was released on 2012-08-31 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a proceedings of the international conference "Painlevé Equations and Related Topics" which was taking place at the Euler International Mathematical Institute, a branch of the Saint Petersburg Department of the Steklov Institute of Mathematics of the Russian Academy of Sciences, in Saint Petersburg on June 17 to 23, 2011. The survey articles discuss the following topics: General ordinary differential equations Painlevé equations and their generalizations Painlevé property Discrete Painlevé equations Properties of solutions of all mentioned above equations: – Asymptotic forms and asymptotic expansions – Connections of asymptotic forms of a solution near different points – Convergency and asymptotic character of a formal solution – New types of asymptotic forms and asymptotic expansions – Riemann-Hilbert problems – Isomonodromic deformations of linear systems – Symmetries and transformations of solutions – Algebraic solutions Reductions of PDE to Painlevé equations and their generalizations Ordinary Differential Equations systems equivalent to Painlevé equations and their generalizations Applications of the equations and the solutions

Author : Kichenassamy
Publisher :
ISBN 13 : 9788184893830
Total Pages : 304 pages
Book Rating : 4.33/5 ( download)

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Download or read book Fuchsian Reduction: Applications To Geometry, Cosmology And Mathematical Physics written by Kichenassamy and published by . This book was released on 2009-09-01 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Mark Lʹvovich Agranovskiĭ
Publisher : American Mathematical Soc.
ISBN 13 : 0821890247
Total Pages : 337 pages
Book Rating : 4.40/5 ( download)

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Download or read book Complex Analysis and Dynamical Systems V written by Mark Lʹvovich Agranovskiĭ and published by American Mathematical Soc.. This book was released on 2013-06-03 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Fifth International Conference on Complex Analysis and Dynamical Systems, held from May 22-27, 2011, in Akko (Acre), Israel. The papers cover a wide variety of topics in complex analysis and partial differential

Author : Catherine Bandle
Publisher : Springer Science & Business Media
ISBN 13 : 3764373849
Total Pages : 466 pages
Book Rating : 4.49/5 ( download)

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Download or read book Elliptic and Parabolic Problems written by Catherine Bandle and published by Springer Science & Business Media. This book was released on 2006-01-17 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: Haim Brezis has made significant contributions in the fields of partial differential equations and functional analysis, and this volume collects contributions by his former students and collaborators in honor of his 60th anniversary at a conference in Gaeta. It presents new developments in the theory of partial differential equations with emphasis on elliptic and parabolic problems.

Author : Wolfgang Lay
Publisher : Cambridge University Press
ISBN 13 : 1009546589
Total Pages : 316 pages
Book Rating : 4.84/5 ( download)

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Download or read book Higher Special Functions written by Wolfgang Lay and published by Cambridge University Press. This book was released on 2024-05-23 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: Higher special functions emerge from boundary eigenvalue problems of Fuchsian differential equations with more than three singularities. This detailed reference provides solutions for singular boundary eigenvalue problems of linear ordinary differential equations of second order, exploring previously unknown methods for finding higher special functions. Starting from the fact that it is the singularities of a differential equation that determine the local, as well as the global, behaviour of its solutions, the author develops methods that are both new and efficient and lead to functional relationships that were previously unknown. All the developments discussed are placed within their historical context, allowing the reader to trace the roots of the theory back through the work of many generations of great mathematicians. Particular attention is given to the work of George Cecil Jaffé, who laid the foundation with the calculation of the quantum mechanical energy levels of the hydrogen molecule ion.

Author : J. L. Bona
Publisher : American Mathematical Soc.
ISBN 13 : 0821810529
Total Pages : 270 pages
Book Rating : 4.21/5 ( download)

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Download or read book Nonlinear PDE's, Dynamics and Continuum Physics written by J. L. Bona and published by American Mathematical Soc.. This book was released on 2000 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the refereed proceedings of the conference on Nonlinear Partial Differential Equations, Dynamics and Continuum Physics which was held at Mount Holyoke College in Massachusetts, from July 19th to July 23rd, 1998. Models examined derive from a wide range of applications, including elasticity, thermoviscoelasticity, granular media, fluid dynamics, gas dynamics and conservation laws. Mathematical topics include existence theory and stability/instability of traveling waves, asymptotic behavior of solutions to nonlinear wave equations, effects of dissipation, mechanisms of blow-up, well-posedness and regularity, and fractal solutions. The text will be of interest to graduate students and researchers working in nonlinear partial differential equations and applied mathematics.

Author : Michel Chipot
Publisher : Elsevier
ISBN 13 : 9780080463827
Total Pages : 630 pages
Book Rating : 4.27/5 ( download)

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Download or read book Handbook of Differential Equations: Stationary Partial Differential Equations written by Michel Chipot and published by Elsevier. This book was released on 2006-08-08 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook is volume III in a series devoted to stationary partial differential quations. Similarly as volumes I and II, it is a collection of self contained state-of-the-art surveys written by well known experts in the field. The topics covered by this handbook include singular and higher order equations, problems near critically, problems with anisotropic nonlinearities, dam problem, T-convergence and Schauder-type estimates. These surveys will be useful for both beginners and experts and speed up the progress of corresponding (rapidly developing and fascinating) areas of mathematics. Key features: - Written by well-known experts in the field - Self-contained volume in series covering one of the most rapid developing topics in mathematics - Written by well-known experts in the field - Self-contained volume in series covering one of the most rapid developing topics in mathematics

Author : D. Marc Kilgour
Publisher : Springer
ISBN 13 : 331999719X
Total Pages : 646 pages
Book Rating : 4.93/5 ( download)

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Download or read book Recent Advances in Mathematical and Statistical Methods written by D. Marc Kilgour and published by Springer. This book was released on 2018-11-04 with total page 646 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the recent development of methodologies and computation methods in mathematical and statistical modelling, computational science and applied mathematics. It emphasizes the development of theories and applications, and promotes interdisciplinary endeavour among mathematicians, statisticians, scientists, engineers and researchers from other disciplines. The book provides ideas, methods and tools in mathematical and statistical modelling that have been developed for a wide range of research fields, including medical, health sciences, biology, environmental science, engineering, physics and chemistry, finance, economics and social sciences. It presents original results addressing real-world problems. The contributions are products of a highly successful meeting held in August 2017 on the main campus of Wilfrid Laurier University, in Waterloo, Canada, the International Conference on Applied Mathematics, Modeling and Computational Science (AMMCS-2017). They make this book a valuable resource for readers interested not only in a broader overview of the methods, ideas and tools in mathematical and statistical approaches, but also in how they can attain valuable insights into problems arising in other disciplines.

Author : Satoshi Koike
Publisher : World Scientific
ISBN 13 : 9814596051
Total Pages : 212 pages
Book Rating : 4.53/5 ( download)

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Download or read book Topics on Real and Complex Singularities written by Satoshi Koike and published by World Scientific. This book was released on 2014-02-28 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: A phenomenon which appears in nature, or human behavior, can sometimes be explained by saying that a certain potential function is maximized, or minimized. For example, the Hamiltonian mechanics, soapy films, size of an atom, business management, etc. In mathematics, a point where a given function attains an extreme value is called a critical point, or a singular point. The purpose of singularity theory is to explore the properties of singular points of functions and mappings. This is a volume on the proceedings of the fourth Japanese–Australian Workshop on Real and Complex Singularities held in Kobe, Japan. It consists of 11 original articles on singularities. Readers will be introduced to some important new notions for characterizations of singularities and several interesting results are delivered. In addition, current approaches to classical topics and state-of-the-art effective computational methods of invariants of singularities are also presented. This volume will be useful not only to the singularity theory specialists but also to general mathematicians. Contents:On the CR Hamiltonian Flows and CR Yamabe Problem (T Akahori)An Example of the Reduction of a Single Ordinary Differential Equation to a System, and the Restricted Fuchsian Relation (K Ando)Fronts of Weighted Cones (T Fukui and M Hasegawa)Involutive Deformations of the Regular Part of a Normal Surface (A Harris and K Miyajima)Connected Components of Regular Fibers of Differentiable Maps (J T Hiratuka and O Saeki)The Reconstruction and Recognition Problems for Homogeneous Hypersurface Singularities (A V Isaev)Openings of Differentiable Map-Germs and Unfoldings (G Ishikawa)Non Concentration of Curvature near Singular Points of Two Variable Analytic Functions (S Koike, T-C Kuo and L Paunescu)Saito Free Divisors in Four Dimensional Affine Space and Reflection Groups of Rank Four (J Sekiguchi)Holonomic Systems of Differential Equations of Rank Two with Singularities along Saito Free Divisors of Simple Type (J Sekiguchi)Parametric Local Cohomology Classes and Tjurina Stratifications for μ-Constant Deformations of Quasi-Homogeneous Singularities (S Tajima) Readership: Mathematicians in singularity theory or in adjacent areas; advanced undergraduates and graduate students in mathematics; non-experts interested in singularity theory and its applications. Key Features:Contains applications of the singularity theory to other mathematical fieldsNew topics in singularity theory, e.g. the relationship between free divisors and holonomic systems, openings of differentiable map-germs, non-concentration of curvatureIncludes articles by prize-winning researchers like Kimio Miyajima and Osamu SaekiKeywords:Singularities;CR Structure;Deformation Theory;Free Divisor;Concentration of Curvature;Holonomic System;Front;Opening