Linear And Quasilinear Complex Equations Of Hyperbolic And Mixed Types

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Linear and Quasilinear Complex Equations of Hyperbolic and Mixed Types

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Author : Guo Chun Wen
Publisher : CRC Press
ISBN 13 : 0203166582
Total Pages : 272 pages
Book Rating : 4.2/5 (31 download)

Book Synopsis Linear and Quasilinear Complex Equations of Hyperbolic and Mixed Types by : Guo Chun Wen

Download or read book Linear and Quasilinear Complex Equations of Hyperbolic and Mixed Types written by Guo Chun Wen and published by CRC Press. This book was released on 2002-08-22 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume deals with first and second order complex equations of hyperbolic and mixed types. Various general boundary value problems for linear and quasilinear complex equations are investigated in detail. To obtain results for complex equations of mixed types, some discontinuous boundary value problems for elliptic complex equations are discusse

Elliptic, Hyperbolic and Mixed Complex Equations with Parabolic Degeneracy

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Author : Guo Chun Wen
Publisher : World Scientific
ISBN 13 : 9812779434
Total Pages : 453 pages
Book Rating : 4.8/5 (127 download)

Book Synopsis Elliptic, Hyperbolic and Mixed Complex Equations with Parabolic Degeneracy by : Guo Chun Wen

Download or read book Elliptic, Hyperbolic and Mixed Complex Equations with Parabolic Degeneracy written by Guo Chun Wen and published by World Scientific. This book was released on 2008 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the recent half-century, many mathematicians have investigated various problems on several equations of mixed type and obtained interesting results, with important applications to gas dynamics. However, the Tricomi problem of general mixed type equations of second order with parabolic degeneracy has not been completely solved, particularly the Tricomi and Frankl problems for general Chaplygin equation in multiply connected domains posed by L Bers, and the existence, regularity of solutions of the above problems for mixed equations with non-smooth degenerate curve in several domains posed by J M Rassias. The method revealed in this book is unlike any other, in which the hyperbolic number and hyperbolic complex function in hyperbolic domains, and the complex number and complex function in elliptic domains are used. The corresponding problems for first order complex equations with singular coefficients are first discussed, and then the problems for second order complex equations are considered, where we pose the new partial derivative notations and complex analytic methods such that the forms of the above first order complex equations in hyperbolic and elliptic domains are wholly identical. In the meantime, the estimates of solutions for the above problems are obtained, hence many open problems including the above TricomiOCo Bers and TricomiOCoFranklOCoRassias problems can be solved. Sample Chapter(s). Chapter 1: Elliptic Complex Equations of First Order (247 KB). Contents: Elliptic Complex Equations of First Order; Elliptic Complex Equations of Second Order; Hyperbolic Complex Equations of First and Second Orders; First Order Complex Equations of Mixed Type; Second Order Linear Equations of Mixed Type; Second Order Quasilinear Equations of Mixed Type. Readership: Graduate students and academics in analysis, differential equations and applied mathematics.

Boundary Value Problems, Integral Equations and Related Problems

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Author : Guo Chun Wen
Publisher : World Scientific
ISBN 13 : 9814327867
Total Pages : 436 pages
Book Rating : 4.8/5 (143 download)

Book Synopsis Boundary Value Problems, Integral Equations and Related Problems by : Guo Chun Wen

Download or read book Boundary Value Problems, Integral Equations and Related Problems written by Guo Chun Wen and published by World Scientific. This book was released on 2011 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume, we report new results about various boundary value problems for partial differential equations and functional equations, theory and methods of integral equations and integral operators including singular integral equations, applications of boundary value problems and integral equations to mechanics and physics, numerical methods of integral equations and boundary value problems, theory and methods for inverse problems of mathematical physics, Clifford analysis and related problems. Contributors include: L Baratchart, B L Chen, D C Chen, S S Ding, K Q Lan, A Farajzadeh, M G Fei, T Kosztolowicz, A Makin, T Qian, J M Rassias, J Ryan, C-Q Ru, P Schiavone, P Wang, Q S Zhang, X Y Zhang, S Y Du, H Y Gao, X Li, Y Y Qiao, G C Wen, Z T Zhang, and others.

Real and Complex Clifford Analysis

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Author : Sha Huang
Publisher : Springer Science & Business Media
ISBN 13 : 0387245367
Total Pages : 257 pages
Book Rating : 4.3/5 (872 download)

Book Synopsis Real and Complex Clifford Analysis by : Sha Huang

Download or read book Real and Complex Clifford Analysis written by Sha Huang and published by Springer Science & Business Media. This book was released on 2006-03-16 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: Clifford analysis, a branch of mathematics that has been developed since about 1970, has important theoretical value and several applications. In this book, the authors introduce many properties of regular functions and generalized regular functions in real Clifford analysis, as well as harmonic functions in complex Clifford analysis. It covers important developments in handling the incommutativity of multiplication in Clifford algebra, the definitions and computations of high-order singular integrals, boundary value problems, and so on. In addition, the book considers harmonic analysis and boundary value problems in four kinds of characteristic fields proposed by Luogeng Hua for complex analysis of several variables. The great majority of the contents originate in the authors’ investigations, and this new monograph will be interesting for researchers studying the theory of functions.

An Introduction to Complex Analysis

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Author : Wolfgang Tutschke
Publisher : CRC Press
ISBN 13 : 1420057219
Total Pages : 476 pages
Book Rating : 4.4/5 (2 download)

Book Synopsis An Introduction to Complex Analysis by : Wolfgang Tutschke

Download or read book An Introduction to Complex Analysis written by Wolfgang Tutschke and published by CRC Press. This book was released on 2004-06-25 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: Like real analysis, complex analysis has generated methods indispensable to mathematics and its applications. Exploring the interactions between these two branches, this book uses the results of real analysis to lay the foundations of complex analysis and presents a unified structure of mathematical analysis as a whole. To set the groundwork

The Dirichlet Problem for Elliptic-Hyperbolic Equations of Keldysh Type

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Author : Thomas H. Otway
Publisher : Springer Science & Business Media
ISBN 13 : 3642244149
Total Pages : 219 pages
Book Rating : 4.6/5 (422 download)

Book Synopsis The Dirichlet Problem for Elliptic-Hyperbolic Equations of Keldysh Type by : Thomas H. Otway

Download or read book The Dirichlet Problem for Elliptic-Hyperbolic Equations of Keldysh Type written by Thomas H. Otway and published by Springer Science & Business Media. This book was released on 2012-01-07 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: Partial differential equations of mixed elliptic-hyperbolic type arise in diverse areas of physics and geometry, including fluid and plasma dynamics, optics, cosmology, traffic engineering, projective geometry, geometric variational theory, and the theory of isometric embeddings. And yet even the linear theory of these equations is at a very early stage. This text examines various Dirichlet problems which can be formulated for equations of Keldysh type, one of the two main classes of linear elliptic-hyperbolic equations. Open boundary conditions (in which data are prescribed on only part of the boundary) and closed boundary conditions (in which data are prescribed on the entire boundary) are both considered. Emphasis is on the formulation of boundary conditions for which solutions can be shown to exist in an appropriate function space. Specific applications to plasma physics, optics, and analysis on projective spaces are discussed. (From the preface)

Mathematical Reviews

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Author :
Publisher :
ISBN 13 :
Total Pages : 796 pages
Book Rating : 4.3/5 (91 download)

Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2006 with total page 796 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Encyclopaedia of Mathematics

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Author : Michiel Hazewinkel
Publisher : Springer Science & Business Media
ISBN 13 : 9400903650
Total Pages : 743 pages
Book Rating : 4.4/5 (9 download)

Book Synopsis Encyclopaedia of Mathematics by : Michiel Hazewinkel

Download or read book Encyclopaedia of Mathematics written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 743 pages. Available in PDF, EPUB and Kindle. Book excerpt: This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fine subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.

International Journal of Applied Mathematics & Statistics

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Author :
Publisher :
ISBN 13 :
Total Pages : 910 pages
Book Rating : 4.E/5 ( download)

Book Synopsis International Journal of Applied Mathematics & Statistics by :

Download or read book International Journal of Applied Mathematics & Statistics written by and published by . This book was released on 2007 with total page 910 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations

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Author : Victor A. Galaktionov
Publisher : CRC Press
ISBN 13 : 1482251736
Total Pages : 565 pages
Book Rating : 4.4/5 (822 download)

Book Synopsis Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations by : Victor A. Galaktionov

Download or read book Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations written by Victor A. Galaktionov and published by CRC Press. This book was released on 2014-09-22 with total page 565 pages. Available in PDF, EPUB and Kindle. Book excerpt: Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations shows how four types of higher-order nonlinear evolution partial differential equations (PDEs) have many commonalities through their special quasilinear degenerate representations. The authors present a unified approach to deal with these quasilinear PDEs.The book

Linear and Quasilinear Complex Equations of Hyperbolic and Mixed Types

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Author : Guo Chun Wen
Publisher : CRC Press
ISBN 13 : 9781134491223
Total Pages : 272 pages
Book Rating : 4.4/5 (912 download)

Book Synopsis Linear and Quasilinear Complex Equations of Hyperbolic and Mixed Types by : Guo Chun Wen

Download or read book Linear and Quasilinear Complex Equations of Hyperbolic and Mixed Types written by Guo Chun Wen and published by CRC Press. This book was released on 2003-09-02 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume deals with first and second order complex equations of hyperbolic and mixed types. Various general boundary value problems for linear and quasilinear complex equations are investigated in detail. To obtain results for complex equations of mixed types, some discontinuous boundary value problems for elliptic complex equations are discussed. Mixed complex equations are included in the quasilinear case, and the text considers both boundary value conditions in the general oblique derivative case and multiply connected domains. Complex analytical methods are used to investigate various problems as well. In particular, hyperbolic numbers and hyperbolic complex functions are introduced to handle hyperbolic complex equations. Researchers and graduate students in mathematical analysis will find this text indispensable.

Analysis and Thermomechanics

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Author : Bernard D. Coleman
Publisher : Springer Science & Business Media
ISBN 13 : 3642615988
Total Pages : 536 pages
Book Rating : 4.6/5 (426 download)

Book Synopsis Analysis and Thermomechanics by : Bernard D. Coleman

Download or read book Analysis and Thermomechanics written by Bernard D. Coleman and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a collection of papers giving the flavor of current research activities in continuum mechanics, fluid mechanics, thermodynamics and the mathematical analysis related to these topics. Written by leading experts in the field, all the papers in this collection have been carefully refereed according to the standards of the "Archive for Rational Mechanics and Analysis."

Encyclopaedia of Mathematics

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Author : M. Hazewinkel
Publisher : Springer
ISBN 13 : 1489937919
Total Pages : 932 pages
Book Rating : 4.4/5 (899 download)

Book Synopsis Encyclopaedia of Mathematics by : M. Hazewinkel

Download or read book Encyclopaedia of Mathematics written by M. Hazewinkel and published by Springer. This book was released on 2013-12-01 with total page 932 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Practical Course In Differential Equations And Mathematical Modelling, A: Classical And New Methods. Nonlinear Mathematical Models. Symmetry And Invariance Principles

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Author : Nail H Ibragimov
Publisher : World Scientific Publishing Company
ISBN 13 : 9813107766
Total Pages : 365 pages
Book Rating : 4.8/5 (131 download)

Book Synopsis Practical Course In Differential Equations And Mathematical Modelling, A: Classical And New Methods. Nonlinear Mathematical Models. Symmetry And Invariance Principles by : Nail H Ibragimov

Download or read book Practical Course In Differential Equations And Mathematical Modelling, A: Classical And New Methods. Nonlinear Mathematical Models. Symmetry And Invariance Principles written by Nail H Ibragimov and published by World Scientific Publishing Company. This book was released on 2009-11-19 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Practical Course in Differential Equations and Mathematical Modelling is a unique blend of the traditional methods of ordinary and partial differential equations with Lie group analysis enriched by the author's own theoretical developments. The book — which aims to present new mathematical curricula based on symmetry and invariance principles — is tailored to develop analytic skills and “working knowledge” in both classical and Lie's methods for solving linear and nonlinear equations. This approach helps to make courses in differential equations, mathematical modelling, distributions and fundamental solution, etc. easy to follow and interesting for students. The book is based on the author's extensive teaching experience at Novosibirsk and Moscow universities in Russia, Collège de France, Georgia Tech and Stanford University in the United States, universities in South Africa, Cyprus, Turkey, and Blekinge Institute of Technology (BTH) in Sweden. The new curriculum prepares students for solving modern nonlinear problems and will essentially be more appealing to students compared to the traditional way of teaching mathematics.

Nonlinear PDEs, Their Geometry, and Applications

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Author : Radosław A. Kycia
Publisher : Springer
ISBN 13 : 3030170314
Total Pages : 289 pages
Book Rating : 4.0/5 (31 download)

Book Synopsis Nonlinear PDEs, Their Geometry, and Applications by : Radosław A. Kycia

Download or read book Nonlinear PDEs, Their Geometry, and Applications written by Radosław A. Kycia and published by Springer. This book was released on 2019-05-18 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents lectures given at the Summer School Wisła 18: Nonlinear PDEs, Their Geometry, and Applications, which took place from August 20 - 30th, 2018 in Wisła, Poland, and was organized by the Baltic Institute of Mathematics. The lectures in the first part of this volume were delivered by experts in nonlinear differential equations and their applications to physics. Original research articles from members of the school comprise the second part of this volume. Much of the latter half of the volume complements the methods expounded in the first half by illustrating additional applications of geometric theory of differential equations. Various subjects are covered, providing readers a glimpse of current research. Other topics covered include thermodynamics, meteorology, and the Monge–Ampère equations. Researchers interested in the applications of nonlinear differential equations to physics will find this volume particularly useful. A knowledge of differential geometry is recommended for the first portion of the book, as well as a familiarity with basic concepts in physics.

AFOSR.

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Author : United States. Air Force. Office of Scientific Research
Publisher :
ISBN 13 :
Total Pages : 1190 pages
Book Rating : 4.3/5 (243 download)

Book Synopsis AFOSR. by : United States. Air Force. Office of Scientific Research

Download or read book AFOSR. written by United States. Air Force. Office of Scientific Research and published by . This book was released on 1950 with total page 1190 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The British National Bibliography

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Author : Arthur James Wells
Publisher :
ISBN 13 :
Total Pages : 1008 pages
Book Rating : 4.3/5 (91 download)

Book Synopsis The British National Bibliography by : Arthur James Wells

Download or read book The British National Bibliography written by Arthur James Wells and published by . This book was released on 2002 with total page 1008 pages. Available in PDF, EPUB and Kindle. Book excerpt: