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Sur Les Classes Quasianalytiques Des Equations Aux Derivees Partielles Du Type Parabolique
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Book Synopsis Linear and Quasi-linear Equations of Parabolic Type by : Olʹga Aleksandrovna Ladyzhenskai͡a
Download or read book Linear and Quasi-linear Equations of Parabolic Type written by Olʹga Aleksandrovna Ladyzhenskai͡a and published by American Mathematical Soc.. This book was released on 1968 with total page 670 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Sur les classes quasianalytiques des solutions des équations aux dérivées partielles du type parabolique by : Sven Täcklind
Download or read book Sur les classes quasianalytiques des solutions des équations aux dérivées partielles du type parabolique written by Sven Täcklind and published by . This book was released on 1936 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Sur Les Classes Quasianalytiques Des Solutions Des Équations Aux Dérivées Partielles Du Type Parabolique, Etc by : Sven TÄCKLIND
Download or read book Sur Les Classes Quasianalytiques Des Solutions Des Équations Aux Dérivées Partielles Du Type Parabolique, Etc written by Sven TÄCKLIND and published by . This book was released on 1936 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Theory of Differential Equations by : I. M. Gel'fand
Download or read book Theory of Differential Equations written by I. M. Gel'fand and published by Academic Press. This book was released on 2014-05-12 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: Generalized Functions, Volume 3: Theory of Differential Equations focuses on the application of generalized functions to problems of the theory of partial differential equations. This book discusses the problems of determining uniqueness and correctness classes for solutions of the Cauchy problem for systems with constant coefficients and eigenfunction expansions for self-adjoint differential operators. The topics covered include the bounded operators in spaces of type W, Cauchy problem in a topological vector space, and theorem of the Phragmén-Lindelöf type. The correctness classes for the Cauchy problem, systems that are Petrovski?-correct, and generalized eigenfunctions of self-adjoint operators are also reviewed. This text likewise covers the differentiation of functionals of strongly and weakly bounded variation. This volume is beneficial to students and researchers interested in the theory of differential equations.
Book Synopsis Sur les classes quasianalytiques des equations aux derivees partielles du type parabolique by : Sven Tacklind
Download or read book Sur les classes quasianalytiques des equations aux derivees partielles du type parabolique written by Sven Tacklind and published by . This book was released on 1936 with total page 55 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical Analysis and Numerical Methods for Science and Technology by : Robert Dautray
Download or read book Mathematical Analysis and Numerical Methods for Science and Technology written by Robert Dautray and published by Springer Science & Business Media. This book was released on 1999-11-23 with total page 760 pages. Available in PDF, EPUB and Kindle. Book excerpt: 299 G(t), and to obtain the corresponding properties of its Laplace transform (called the resolvent of - A) R(p) = (A + pl)-l , whose existence is linked with the spectrum of A. The functional space framework used will be, for simplicity, a Banach space(3). To summarise, we wish to extend definition (2) for bounded operators A, i.e. G(t) = exp( - tA) , to unbounded operators A over X, where X is now a Banach space. Plan of the Chapter We shall see in this chapter that this enterprise is possible, that it gives us in addition to what is demanded above, some supplementary information in a number of areas: - a new 'explicit' expression of the solution; - the regularity of the solution taking into account some conditions on the given data (u , u1,f etc ... ) with the notion of a strong solution; o - asymptotic properties of the solutions. In order to treat these problems we go through the following stages: in § 1, we shall study the principal properties of operators of semigroups {G(t)} acting in the space X, particularly the existence of an upper exponential bound (in t) of the norm of G(t). In §2, we shall study the functions u E X for which t --+ G(t)u is differentiable.
Book Synopsis Parabolic Equations on an Infinite Strip by : Watson
Download or read book Parabolic Equations on an Infinite Strip written by Watson and published by Routledge. This book was released on 2017-10-02 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on solutions of second order, linear, parabolic, partial differentialequations on an infinite strip-emphasizing their integral representation, their initialvalues in several senses, and the relations between these.Parabolic Equations on an Infinite Strip provides valuable information-previously unavailable in a single volume-on such topics as semigroup property.. . the Cauchy problem ... Gauss-Weierstrass representation . .. initial limits .. .normal limits and related representation theorems ... hyperplane conditions .. .determination of the initial measure .. . and the maximum principle. It also exploresnew, unpublished results on parabolic limits . . . more general limits ... and solutionssatisfying LP conditions.Requiring only a fundamental knowledge of general analysis and measure theory, thisbook serves as an excellent text for graduate students studying partial differentialequations and harmonic analysis, as well as a useful reference for analysts interested inapplied measure theory, and specialists in partial differential equations.
Download or read book The Heat Equation written by D. V. Widder and published by Academic Press. This book was released on 1976-01-22 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Heat Equation
Book Synopsis The Analysis of Linear Partial Differential Operators II by : Lars Hörmander
Download or read book The Analysis of Linear Partial Differential Operators II written by Lars Hörmander and published by Springer. This book was released on 2005-12-12 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Author received the 1962 Fields Medal Author received the 1988 Wolf Prize (honoring achievemnets of a lifetime) Author is leading expert in partial differential equations
Book Synopsis Heat Kernel and Analysis on Manifolds by : Alexander Grigoryan
Download or read book Heat Kernel and Analysis on Manifolds written by Alexander Grigoryan and published by American Mathematical Soc.. This book was released on 2009 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: The heat kernel has long been an essential tool in both classical and modern mathematics but has become especially important in geometric analysis as a result of major innovations beginning in the 1970s. The methods based on heat kernels have been used in areas as diverse as analysis, geometry, and probability, as well as in physics. This book is a comprehensive introduction to heat kernel techniques in the setting of Riemannian manifolds, which inevitably involves analysis of the Laplace-Beltrami operator and the associated heat equation. The first ten chapters cover the foundations of the subject, while later chapters deal with more advanced results involving the heat kernel in a variety of settings. The exposition starts with an elementary introduction to Riemannian geometry, proceeds with a thorough study of the spectral-theoretic, Markovian, and smoothness properties of the Laplace and heat equations on Riemannian manifolds, and concludes with Gaussian estimates of heat kernels. Grigor'yan has written this book with the student in mind, in particular by including over 400 exercises. The text will serve as a bridge between basic results and current research.Titles in this series are co-published with International Press, Cambridge, MA, USA.
Book Synopsis Fourier Analysis in Several Complex Variables by : Leon Ehrenpreis
Download or read book Fourier Analysis in Several Complex Variables written by Leon Ehrenpreis and published by Courier Corporation. This book was released on 2011-11-30 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: Suitable for advanced undergraduates and graduate students, this text develops comparison theorems to establish the fundamentals of Fourier analysis and to illustrate their applications to partial differential equations. 1970 edition.
Book Synopsis Several Complex Variables V by : G.M. Khenkin
Download or read book Several Complex Variables V written by G.M. Khenkin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume of the Encyclopaedia contains three contributions in the field of complex analysis; on mean periodicity and convolutionequations, Yang-Mills fields and the Radon-Penrose transform, and stringtheory. It is immensely useful to graduate students and researchers in complex analysis, differential geometry, quantum field theory, string theory and general relativity.
Book Synopsis Microlocal Analysis and Complex Fourier Analysis by : Keiko Fujita
Download or read book Microlocal Analysis and Complex Fourier Analysis written by Keiko Fujita and published by World Scientific. This book was released on 2002 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of original papers on microlocal analysis, Fourier analysis in the complex domain, generalized functions and related topics. Most of the papers originate from the talks given at the conference OC Prospects of Generalized FunctionsOCO (in November, 2001 at RIMS, Kyoto). Reflecting the fact that the papers, except M Morimoto''s one, are dedicated to Mitsuo Morimoto, the subjects considered in this book are interdisciplinary, just as Morimoto''s works are. The historical backgrounds of the subjects are also discussed in depth in some contributions. Thus, this book should be valuable not only to the specialists in the fields, but also to those who are interested in the history of modern mathematics such as distributions and hyperfunctions."
Book Synopsis The Analysis of Linear Partial Differential Operators III by : Lars Hörmander
Download or read book The Analysis of Linear Partial Differential Operators III written by Lars Hörmander and published by Springer Science & Business Media. This book was released on 1994-12-23 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "Volumes III and IV complete L. Hörmander's treatise on linear partial differential equations. They constitute the most complete and up-to-date account of this subject, by the author who has dominated it and made the most significant contributions in the last decades.....It is a superb book, which must be present in every mathematical library, and an indispensable tool for all - young and old - interested in the theory of partial differential operators." L. Boutet de Monvel in Bulletin of the American Mathematical Society, 1987. "This treatise is outstanding in every respect and must be counted among the great books in mathematics. It is certainly no easy reading (...) but a careful study is extremely rewarding for its wealth of ideas and techniques and the beauty of presentation." J. Brüning in Zentralblatt MATH, 1987.
Book Synopsis Maximum Principles in Differential Equations by : Murray H. Protter
Download or read book Maximum Principles in Differential Equations written by Murray H. Protter and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: Maximum Principles are central to the theory and applications of second-order partial differential equations and systems. This self-contained text establishes the fundamental principles and provides a variety of applications.
Book Synopsis Linear Partial Differential Operators by : Lars Hörmander
Download or read book Linear Partial Differential Operators written by Lars Hörmander and published by Springer. This book was released on 2013-11-11 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Generalized Functions, Volume 3 by : I. M. Gel'fand
Download or read book Generalized Functions, Volume 3 written by I. M. Gel'fand and published by American Mathematical Soc.. This book was released on 2016-03-30 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first systematic theory of generalized functions (also known as distributions) was created in the early 1950s, although some aspects were developed much earlier, most notably in the definition of the Green's function in mathematics and in the work of Paul Dirac on quantum electrodynamics in physics. The six-volume collection, Generalized Functions, written by I. M. Gel'fand and co-authors and published in Russian between 1958 and 1966, gives an introduction to generalized functions and presents various applications to analysis, PDE, stochastic processes, and representation theory. In Volume 3, applications of generalized functions to the Cauchy problem for systems of partial differential equations with constant coefficients are considered. The book includes the study of uniqueness classes of solutions of the Cauchy problem and the study of classes of functions where the Cauchy problem is well posed. The last chapter of this volume presents results related to spectral decomposition of differential operators related to generalized eigenfunctions.
