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Linear Partial Differential Operators In Gevrey Spaces


Linear Partial Differential Operators In Gevrey Spaces
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Linear Partial Differential Operators In Gevrey Spaces


Linear Partial Differential Operators In Gevrey Spaces
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Author : Luigi Rodino
language : en
Publisher: World Scientific
Release Date : 1993

Linear Partial Differential Operators In Gevrey Spaces written by Luigi Rodino and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.


The 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, cì 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.



Partial Differential Equations


Partial Differential Equations
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Author : Todor V. Gramchev
language : en
Publisher: Wiley-VCH
Release Date : 2000-02-22

Partial Differential Equations written by Todor V. Gramchev and has been published by Wiley-VCH this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-02-22 with Mathematics categories.


The applications of methods from microlocal analysis for PDE have been a fast developing area during the last years. The authors, both are well known in the community, publish for the first time some of their research results in a summarized form. The essential point of the approach is the use of the various types of approximate (asymptotic) solutions in the study of differential equations in the smooth and the Gevrey spaces. In this volume, the authors deal with the following themes: Microlocal properties of pseudodifferential operators with multiple characteristics of involutive type in the framework of the Sobolev spaces; Abstract schemes for constructing approximate solutions to linear partial differential equations with characteristics of constant multiplicity m greater than or equal 2 in the framework of Gevrey spaces; Local solvability, hypoellipticity and singular solutions in Gevrey spaces; Global Gevrey solvability on the torus for linear partial differential equations; Applications of asymptotic methods for local (non)solvability for quasihomogeneous operators; Applications of Airy asymptotic solutions to degenerate oblique derivative problems for second order strictly hyperbolic equations; Approximate Gevrey normal forms of analytic involutions and analytic glancing hypersurfaces with applications for effective stability estimates for billiard ball maps.



Differential Operator Equations


Differential Operator Equations
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Author : Yakov Yakubov
language : en
Publisher: CRC Press
Release Date : 1999-11-24

Differential Operator Equations written by Yakov Yakubov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-11-24 with Mathematics categories.


The theory of differential-operator equations is one of two modern theories for the study of both ordinary and partial differential equations, with numerous applications in mechanics and theoretical physics. Although a number of published works address differential-operator equations of the first and second orders, to date none offer a treatment of the higher orders. In Differential-Operator Equations, the authors present a systematic treatment of the theory of differential-operator equations of higher order, with applications to partial differential equations. They construct a theory that allows application to both regular and irregular differential problems. In particular, they study problems that cannot be solved by various known methods and irregular problems not addressed in existing monographs. These include Birkhoff-irregularity, non-local boundary value conditions, and non-smoothness of the boundary of the domains. Among this volume's other points of interest are: The Abel basis property of a system of root functions Irregular boundary value problems The theory of hyperbolic equations in Gevrey space The theory of boundary value problems for elliptic differential equations with a parameter



Linear Partial Differential Operators


Linear Partial Differential Operators
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Author : Lars Hörmander
language : en
Publisher:
Release Date : 1969

Linear Partial Differential Operators written by Lars Hörmander and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Differential equations, Partial categories.




The Analysis Of Linear Partial Differential Operators Ii


The Analysis Of Linear Partial Differential Operators Ii
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Author : Lars Hörmander
language : en
Publisher: Springer
Release Date : 2005-12-12

The Analysis Of Linear Partial Differential Operators Ii written by Lars Hörmander and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-12-12 with Mathematics categories.


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



Advances In Pseudo Differential Operators


Advances In Pseudo Differential Operators
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Author : Ryuichi Ashino
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06

Advances In Pseudo Differential Operators written by Ryuichi Ashino and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


This volume consists of the plenary lectures and invited talks in the special session on pseudo-differential operators given at the Fourth Congress of the International Society for Analysis, Applications and Computation (ISAAC) held at York University in Toronto, August 11-16, 2003. The theme is to look at pseudo-differential operators in a very general sense and to report recent advances in a broad spectrum of topics, such as pde, quantization, filters and localization operators, modulation spaces, and numerical experiments in wavelet transforms and orthonormal wavelet bases.



On Solvability Of Linear Partial Differential Operators In Local Spaces Beta Sub P K Sup Loc G


On Solvability Of Linear Partial Differential Operators In Local Spaces Beta Sub P K Sup Loc G
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Author : Jouko Tervo
language : en
Publisher:
Release Date : 1987

On Solvability Of Linear Partial Differential Operators In Local Spaces Beta Sub P K Sup Loc G written by Jouko Tervo and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with categories.




Linear Differential Operators


Linear Differential Operators
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Author : Cornelius Lanczos
language : en
Publisher: Courier Corporation
Release Date : 1997-01-01

Linear Differential Operators written by Cornelius Lanczos and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-01-01 with Mathematics categories.


The basic and characteristic properties of linear differential operators are explored in this graduate-level text. No specific knowledge beyond the usual introductory courses is necessary. Includes 350 problems and solution.



The Analysis Of Linear Partial Differential Operators Iv


The Analysis Of Linear Partial Differential Operators Iv
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Author : Lars Hörmander
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-04-28

The Analysis Of Linear Partial Differential Operators Iv written by Lars Hörmander and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-04-28 with Mathematics categories.


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 Honours awarded to Lars Hörmander: Fields Medal 1962, Speaker at International Congress 1970, Wolf Prize 1988, AMS Steele Prize 2006



Pseudo Differential Operators Analysis Applications And Computations


Pseudo Differential Operators Analysis Applications And Computations
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Author : Luigi Rodino
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-03-13

Pseudo Differential Operators Analysis Applications And Computations written by Luigi Rodino and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-13 with Mathematics categories.


This volume consists of eighteen peer-reviewed papers related to lectures on pseudo-differential operators presented at the meeting of the ISAAC Group in Pseudo-Differential Operators (IGPDO) held at Imperial College London on July 13-18, 2009. Featured in this volume are the analysis, applications and computations of pseudo-differential operators in mathematics, physics and signal analysis. This volume is a useful complement to the volumes “Advances in Pseudo-Differential Operators”, “Pseudo-Differential Operators and Related Topics”, “Modern Trends in Pseudo-Differential Operators”, “New Developments in Pseudo-Differential Operators” and “Pseudo-Differential Operators: Complex Analysis and Partial Differential Equations” published in the same series in, respectively, 2004, 2006, 2007, 2009 and 2010.