Download or read book Tube Domains and the Cauchy Problem written by Semen Grigorʹevich Gindikin and published by American Mathematical Soc.. This book was released on with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The Cauchy Problem written by Hector O. Fattorini and published by Cambridge University Press. This book was released on 1983 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Uniqueness and Non uniqueness in the Cauchy Problem written by Claude Zuily and published by Birkhauser. This book was released on 1983 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Arithmetic of Probability Distributions and Characterization Problems on Abelian Groups written by Gennadiĭ Mikhaĭlovich Felʹdman and published by American Mathematical Soc.. This book was released on 1993 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Arithmetic of Probability Distributions and Characterization Problems on Abelian Groups written by Gennadij M. Fel'dman and published by American Mathematical Soc.. This book was released on with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Problems and Theorems in Linear Algebra written by Viktor Vasil_evich Prasolov and published by American Mathematical Soc.. This book was released on 1994-06-13 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Methods for Analysis of Nonlinear Elliptic Boundary Value Problems written by I. V. Skrypnik and published by American Mathematical Soc.. This book was released on 1994-01-01 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Subgroups of Teichmuller Modular Groups written by Nikolai V. Ivanov and published by American Mathematical Soc.. This book was released on 1992-12-28 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Typical Singularities of Differential 1 forms and Pfaffian Equations written by Mikhail Zhitomirskiĭ and published by American Mathematical Soc.. This book was released on 1992 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Introduction to the General Theory of Singular Perturbations written by S. A. Lomov and published by American Mathematical Soc.. This book was released on with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Discreteness and Continuity in Problems of Chaotic Dynamics written by Michael L. Blank and published by American Mathematical Soc.. This book was released on 1997-01-01 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the study of ergodic properties of so-called chaotic dynamical systems. One of the central topics is the interplay between deterministic and quasi-stochastic behaviour in chaotic dynamics and between properties of continuous dynamical systems and those of their discrete approximations. Using simple examples, the author describes the main phenomena known in chaotic dynamical systems, studying topics such as the operator approach in chaotic dynamics, stochastic stability, and the so-called coupled systems. The last two chapters are devoted to problems of numerical modeling of chaotic dynamics.
Download or read book Algebraic Functions written by Kenkichi Iwasawa and published by American Mathematical Soc.. This book was released on 1993 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a translation of Iwasawa's 1973 book, Theory of Algebraic Functions originally published in Japanese. Because the book treats mainly the classical part of the theory of algebraic functions, emphasizing analytic methods, it provides an excellent introduction to the subject from the classical viewpoint. Directed at graduate students, the book requires some basic knowledge of algebra, topology, and functions of a complex variable.
Download or read book Fundamental Solutions of Linear Partial Differential Operators written by Norbert Ortner and published by Springer. This book was released on 2015-08-05 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides the theoretical foundations needed for the construction of fundamental solutions and fundamental matrices of (systems of) linear partial differential equations. Many illustrative examples also show techniques for finding such solutions in terms of integrals. Particular attention is given to developing the fundamentals of distribution theory, accompanied by calculations of fundamental solutions. The main part of the book deals with existence theorems and uniqueness criteria, the method of parameter integration, the investigation of quasihyperbolic systems by means of Fourier and Laplace transforms, and the representation of fundamental solutions of homogeneous elliptic operators with the help of Abelian integrals. In addition to rigorous distributional derivations and verifications of fundamental solutions, the book also shows how to construct fundamental solutions (matrices) of many physically relevant operators (systems), in elasticity, thermoelasticity, hexagonal/cubic elastodynamics, for Maxwell’s system and others. The book mainly addresses researchers and lecturers who work with partial differential equations. However, it also offers a valuable resource for students with a solid background in vector calculus, complex analysis and functional analysis.
Download or read book Stability of Solutions of Differential Equations in Banach Space written by Ju. L. Daleckii and published by American Mathematical Soc.. This book was released on 2002-03-15 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Linear infinite particle operators written by V. A. Malyshev Robert Adol_fovich Minlos and published by American Mathematical Soc.. This book was released on 1995-02-13 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main subject of this book can be viewed in various ways. From the standpoint of functional analysis, it studies spectral properties of a certain class of linear operators; from the viewpoint of probability theory, it is concerned with the analysis of singular Markov processes; and, from the vantage point of mathematical physics, it analyzes the dynamics of equilibrium systems in quantum statistical physics and quantum field theory. Malyshev and Minlos describe two new approaches to the subject which have not been previously treated in monograph form. They also present background material which makes the book accessible and useful to researchers and graduate students working in functional analysis, probability theory, and mathematical physics.
Download or read book Introduction to the Theory of Linear Nonselfadjoint Operators written by Israel Gohberg and published by American Mathematical Soc.. This book was released on 1978 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Geometric Theory of Functions of a Complex Variable written by Gennadiĭ Mikhaĭlovich Goluzin and published by American Mathematical Soc.. This book was released on 1969 with total page 690 pages. Available in PDF, EPUB and Kindle. Book excerpt:
