Tube Domains and the Cauchy Problem PDF Download
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Author: Semen Grigorʹevich Gindikin
Publisher: American Mathematical Soc.
ISBN: 9780821897409
Category : Mathematics
Languages : en
Pages : 144
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Book Description
This book is dedicated to two problems. The first concerns the description of maximal exponential growth of functions or distributions for which the Cauchy problem is well posed. The descriptions presented in the language of the behaviour of the symbol in a complex domain. The second problem concerns the structure of and explicit formulas for differential operators with large automorphism groups. It is suitable as an advanced graduate text in courses in partial differential equations and the theory of distributions.
Author: Semen Grigorʹevich Gindikin
Publisher: American Mathematical Soc.
ISBN: 9780821897409
Category : Mathematics
Languages : en
Pages : 144
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Book Description
This book is dedicated to two problems. The first concerns the description of maximal exponential growth of functions or distributions for which the Cauchy problem is well posed. The descriptions presented in the language of the behaviour of the symbol in a complex domain. The second problem concerns the structure of and explicit formulas for differential operators with large automorphism groups. It is suitable as an advanced graduate text in courses in partial differential equations and the theory of distributions.
Author: Zuily
Publisher: Springer Science & Business Media
ISBN: 1489966560
Category : Science
Languages : en
Pages : 184
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Book Description
Author: Hector O. Fattorini
Publisher: Cambridge University Press
ISBN: 0521302382
Category : Mathematics
Languages : en
Pages : 664
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Book Description
This volume deals with the Cauchy or initial value problem for linear differential equations. It treats in detail some of the applications of linear space methods to partial differential equations, especially the equations of mathematical physics such as the Maxwell, Schrödinger and Dirac equations. Background material presented in the first chapter makes the book accessible to mathematicians and physicists who are not specialists in this area as well as to graduate students.
Author: Gennadiĭ Mikhaĭlovich Felʹdman
Publisher: American Mathematical Soc.
ISBN: 9780821845936
Category : Mathematics
Languages : en
Pages : 236
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Book Description
This book studies the problem of the decomposition of a given random variable introduction a sum of independent random variables (components). The central feature of the book is Feldman's use of powerful analytical techniques.
Author: Gennadij M. Fel'dman
Publisher: American Mathematical Soc.
ISBN: 9780821897447
Category : Mathematics
Languages : en
Pages : 236
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Book Description
This book studies the problem of the decomposition of a given random variable introduction a sum of independent random variables (components). The central feature of the book is Feldman's use of powerful analytical techniques.
Author: Viktor Vasil_evich Prasolov
Publisher: American Mathematical Soc.
ISBN: 0821802364
Category : Mathematics
Languages : en
Pages : 250
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Book Description
There are a number of very good books available on linear algebra. However, new results in linear algebra appear constantly, as do new, simpler, and better proofs of old results. Many of these results and proofs obtained in the past thirty years are accessible to undergraduate mathematics majors, but are usually ignored by textbooks. In addition, more than a few interesting old results are not covered in many books. In this book, the author provides the basics of linear algebra, with an emphasis on new results and on nonstandard and interesting proofs. The book features about 230 problems with complete solutions. It can serve as a supplementary text for an undergraduate or graduate algebra course.
Author: I. V. Skrypnik
Publisher: American Mathematical Soc.
ISBN: 9780821897560
Category : Mathematics
Languages : en
Pages : 370
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Book Description
The theory of nonlinear elliptic equations is currently one of the most actively developing branches of the theory of partial differential equations. This book investigates boundary value problems for nonlinear elliptic equations of arbitrary order. In addition to monotone operator methods, a broad range of applications of topological methods to nonlinear differential equations is presented: solvability, estimation of the number of solutions, and the branching of solutions of nonlinear equations. Skrypnik establishes, by various procedures, a priori estimates and the regularity of solutions of nonlinear elliptic equations of arbitrary order. Also covered are methods of homogenization of nonlinear elliptic problems in perforated domains. The book is suitable for use in graduate courses in differential equations and nonlinear functional analysis.
Author: Nikolai V. Ivanov
Publisher: American Mathematical Soc.
ISBN: 9780821897430
Category : Mathematics
Languages : en
Pages : 146
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Book Description
Teichmuller modular groups, also known as mapping class groups of surfaces, serve as a meeting ground for several branches of mathematics, including low-dimensional topology, the theory of Teichmuller spaces, group theory, and, mathematical physics. This title focuses on the group-theoretic properties of these groups and their subgroups.
Author: Mikhail Zhitomirskiĭ
Publisher: American Mathematical Soc.
ISBN: 9780821897423
Category : Mathematics
Languages : en
Pages : 194
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Book Description
Singularities and the classification of 1-forms and Pfaffian equations are interesting not only as classical problems, but also because of their applications in contact geometry, partial differential equations, control theory, nonholonomic dynamics, and variational problems. In addition to collecting results on the geometry of singularities and classification of differential forms and Pfaffian equations, this monograph discusses applications and closely related classification problems. Zhitomirskii presents proofs with all results and ends each chapter with a summary of the main results, a tabulation of the singularities, and a list of the normal forms. The main results of the book are also collected together in the introduction.
Author: S. A. Lomov
Publisher: American Mathematical Soc.
ISBN: 9780821897416
Category : Mathematics
Languages : en
Pages : 402
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Book Description
This book is aimed at researchers and students in physics, mathematics, and engineering. It contains the first systematic presentation of a general approach to the integration of singularly perturbed differential equations describing nonuniform transitions, such as the occurrence of a boundary layer, discontinuities, boundary effects and so on. The method of regularization of singular perturbations presented here can be applied to the asymptotic integration of systems of ordinary and partial differential equations.
