On Solvability of Linear Partial Differential Operators in Local Spaces $ B {loc}_ {p,k}(G) $
Author: J. Tervo
Publisher:
Published: 1987
Total Pages: 28
ISBN-13:
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Author: J. Tervo
Publisher:
Published: 1987
Total Pages: 28
ISBN-13:
DOWNLOAD EBOOKAuthor: Jouko Tervo
Publisher:
Published: 1987
Total Pages:
ISBN-13:
DOWNLOAD EBOOKAuthor: Luigi Rodino
Publisher: World Scientific
Published: 1993-03-30
Total Pages: 266
ISBN-13: 9814505870
DOWNLOAD EBOOKThe book is devoted to new and classical results of the theory of linear partial differential operators in Gevrey spaces. The “microlocal approach” is adopted, by using pseudo-differential operators, wave front sets and Fourier integral operators.Basic results for Schwartz-distributions, c∞ and analytic classes are also included, concerning hypoellipticity, solvability and propagation of singularities.Also included is a self-contained exposition of the calculus of the pseudo-differential operators of infinite order.
Author: Christopher James Winfield
Publisher:
Published: 1996
Total Pages: 162
ISBN-13:
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Publisher:
Published: 1955
Total Pages:
ISBN-13: 9780821810941
DOWNLOAD EBOOKAuthor: Hans G. Feichtinger
Publisher: Springer
Published: 2008-08-15
Total Pages: 235
ISBN-13: 3540682686
DOWNLOAD EBOOKPseudo-differential operators were initiated by Kohn, Nirenberg and Hörmander in the sixties of the last century. Beside applications in the general theory of partial differential equations, they have their roots also in the study of quantization first envisaged by Hermann Weyl thirty years earlier. Thanks to the understanding of the connections of wavelets with other branches of mathematical analysis, quantum physics and engineering, such operators have been used under different names as mathematical models in signal analysis since the last decade of the last century. The volume investigates the mathematics of quantization and signals in the context of pseudo-differential operators, Weyl transforms, Daubechies operators, Wick quantization and time-frequency localization operators. Applications to quantization, signal analysis and the modern theory of PDE are highlighted.
Author: David Bleecker
Publisher: Amer Mathematical Society
Published: 2013
Total Pages: 766
ISBN-13: 9781571462640
DOWNLOAD EBOOKDescribes, explains, and explores the Index Theorem of Atiyah and Singer, one of the truly great accomplishments of twentieth-century mathematics whose influence continues to grow, fifty years after its discovery. David Bleecker and Bernhelm Boo�-Bavnbek give two proofs of the Atiyah-Singer Index Theorem in impressive detail: one based on K-theory and the other on the heat kernel approach.
Author: Zhangxin Chen
Publisher: Springer Science & Business Media
Published: 2005-06-23
Total Pages: 415
ISBN-13: 3540240780
DOWNLOAD EBOOKIntroduce every concept in the simplest setting and to maintain a level of treatment that is as rigorous as possible without being unnecessarily abstract. Contains unique recent developments of various finite elements such as nonconforming, mixed, discontinuous, characteristic, and adaptive finite elements, along with their applications. Describes unique recent applications of finite element methods to important fields such as multiphase flows in porous media and semiconductor modelling. Treats the three major types of partial differential equations, i.e., elliptic, parabolic, and hyperbolic equations.
Author: John M. Erdman
Publisher: American Mathematical Soc.
Published: 2018-07-09
Total Pages: 384
ISBN-13: 1470442469
DOWNLOAD EBOOKThis textbook is suitable for a course in advanced calculus that promotes active learning through problem solving. It can be used as a base for a Moore method or inquiry based class, or as a guide in a traditional classroom setting where lectures are organized around the presentation of problems and solutions. This book is appropriate for any student who has taken (or is concurrently taking) an introductory course in calculus. The book includes sixteen appendices that review some indispensable prerequisites on techniques of proof writing with special attention to the notation used the course.
Author: George A. Articolo
Publisher: Academic Press
Published: 2009-03-23
Total Pages: 733
ISBN-13: 0080885063
DOWNLOAD EBOOKPartial Differential Equations and Boundary Value Problems with Maple, Second Edition, presents all of the material normally covered in a standard course on partial differential equations, while focusing on the natural union between this material and the powerful computational software, Maple. The Maple commands are so intuitive and easy to learn, students can learn what they need to know about the software in a matter of hours - an investment that provides substantial returns. Maple's animation capabilities allow students and practitioners to see real-time displays of the solutions of partial differential equations. This updated edition provides a quick overview of the software w/simple commands needed to get started. It includes review material on linear algebra and Ordinary Differential equations, and their contribution in solving partial differential equations. It also incorporates an early introduction to Sturm-Liouville boundary problems and generalized eigenfunction expansions. Numerous example problems and end of each chapter exercises are provided. Provides a quick overview of the software w/simple commands needed to get started Includes review material on linear algebra and Ordinary Differential equations, and their contribution in solving partial differential equations Incorporates an early introduction to Sturm-Liouville boundary problems and generalized eigenfunction expansions Numerous example problems and end of each chapter exercises