Linear Partial Differential Operators In Gevrey Spaces

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Linear Partial Differential Operators In Gevrey Spaces

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Author : Luigi Rodino
language : en
Publisher: World Scientific
Release Date : 1993-03-30

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 1993-03-30 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, 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.

General Theory Of Partial Differential Equations And Microlocal Analysis

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Author : Min-You Qi
language : en
Publisher: CRC Press
Release Date : 1996-05-20

General Theory Of Partial Differential Equations And Microlocal Analysis written by Min-You Qi and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-05-20 with Mathematics categories.

Partial Differential Equations And Their Applications Proceedings Of The Conference

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Author : Luigi Rodino
language : en
Publisher: World Scientific
Release Date : 1999-11-26

Partial Differential Equations And Their Applications Proceedings Of The Conference 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 1999-11-26 with Mathematics categories.

This volume reports the recent progress in linear and nonlinear partial differential equations, microlocal analysis, singular partial differential operators, spectral analysis and hyperfunction theory.

Developments In Partial Differential Equations And Applications To Mathematical Physics

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Author : G. Buttazzo
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Developments In Partial Differential Equations And Applications To Mathematical Physics written by G. Buttazzo 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 2012-12-06 with Technology & Engineering categories.

During the days 14-18 of October 1991, we had the pleasure of attending a most interesting Conference on New Developments in Partial Differential Equations and Applications to Mathematical Physics in Ferrarra. The Conference was organized within the Scientific Program celebrating the six hundredth birthday of the University of Ferrarra and, after the many stimulating lectures and fruitful discussions, we may certainly conclude, together with the numerous participants, that it has represented a big success. The Conference would not have been possible without the financial support of several sources. In this respect, we are particularly grateful to the Comitato Organizzatore del VI Centenario, the University of Ferrarra in the Office of the Rector, Professor Antonio Rossi, the Consiglio Nationale delle Ricerche, and the Department of Mathematics of the University of Ferrarra. We should like to thank all of the partlClpants and the speakers, and we are especially grateful to those who have contributed to the present volume. G. Buttazzo, University of Pisa G.P. Galdi, University of Ferrarra L. Zanghirati, University of Ferrarra Ferrarra, May 11 th, 1992 v CONTENTS INVITED LECTURES Liapunov Functionals and Qualitative Behaviour of the Solution to the Nonlinear Enskog Equation ...

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Author :
language : en
Publisher: World Scientific
Release Date :

written by and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.

New Developments In Pseudo Differential Operators

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Author : Luigi Rodino
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-01-06

New Developments In Pseudo Differential Operators 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 2009-01-06 with Mathematics categories.

This volume consists of peer-reviewed papers related to lectures on pseudo-differential operators presented at the meeting of the ISAAC Group in Pseudo-Differential Operators (IGPDO) held on August 13-18, 2007, and invited papers by experts in the field.

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.

The Fourth Congress of the International Society for Analysis, its Applications and Computation (ISAAC) was held at York University from August 11, 2003 to August 16, 2003. It was supported by the Academic Initiative Fund of the Faculty of Arts, NSERC grants from some members of the Department of Mathematics and Statistics and the Office of the Vice-President Academic of York University. In spite of two SARS outbreaks in Toronto in 2003, the ISAAC Congress was held as scheduled and was well attended by mathematicians from all over the world. There were nine plenary lectures and seventeen special sessions representing most major themes in analysis. Among these were two plenary lectures and a special session on pseudo-differential operators organized by Ryuichi Ashino of Osaka Kyoiku University, Paolo Boggiatto of Universite di Torino and M. W. Wong of York University. In the summer of 2003, M. W. Wong had the idea of putting together the lectures on pseudo-differential operators in a volume to be published in a series that advocates operator theory and its applications. In early August of 2003, when Israel Gohberg of Tel Aviv University was consulted about the possibility of publishing a volume entitled "Advances in Pseudo-Differential Operators" in his series "Operator Theory: Advances and Applications", he replied immediately endorsing the proposal enthusiastically.

Linear Topological Spaces And Complex Analysis

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Author :
language : en
Publisher:
Release Date : 1995

Linear Topological Spaces And Complex Analysis written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Functional analysis categories.

Methods For Partial Differential Equations

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Author : Marcelo R. Ebert
language : en
Publisher: Birkhäuser
Release Date : 2018-02-23

Methods For Partial Differential Equations written by Marcelo R. Ebert and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-23 with Mathematics categories.

This book provides an overview of different topics related to the theory of partial differential equations. Selected exercises are included at the end of each chapter to prepare readers for the “research project for beginners” proposed at the end of the book. It is a valuable resource for advanced graduates and undergraduate students who are interested in specializing in this area. The book is organized in five parts: In Part 1 the authors review the basics and the mathematical prerequisites, presenting two of the most fundamental results in the theory of partial differential equations: the Cauchy-Kovalevskaja theorem and Holmgren's uniqueness theorem in its classical and abstract form. It also introduces the method of characteristics in detail and applies this method to the study of Burger's equation. Part 2 focuses on qualitative properties of solutions to basic partial differential equations, explaining the usual properties of solutions to elliptic, parabolic and hyperbolic equations for the archetypes Laplace equation, heat equation and wave equation as well as the different features of each theory. It also discusses the notion of energy of solutions, a highly effective tool for the treatment of non-stationary or evolution models and shows how to define energies for different models. Part 3 demonstrates how phase space analysis and interpolation techniques are used to prove decay estimates for solutions on and away from the conjugate line. It also examines how terms of lower order (mass or dissipation) or additional regularity of the data may influence expected results. Part 4 addresses semilinear models with power type non-linearity of source and absorbing type in order to determine critical exponents: two well-known critical exponents, the Fujita exponent and the Strauss exponent come into play. Depending on concrete models these critical exponents divide the range of admissible powers in classes which make it possible to prove quite different qualitative properties of solutions, for example, the stability of the zero solution or blow-up behavior of local (in time) solutions. The last part features selected research projects and general background material.

Hyperbolic Problems And Regularity Questions

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Author : Mariarosaria Padula
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-01-21

Hyperbolic Problems And Regularity Questions written by Mariarosaria Padula 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 2007-01-21 with Mathematics categories.

This book discusses new challenges in the quickly developing field of hyperbolic problems. Particular emphasis lies on the interaction between nonlinear partial differential equations, functional analysis and applied analysis as well as mechanics. The book originates from a recent conference focusing on hyperbolic problems and regularity questions. It is intended for researchers in functional analysis, PDE, fluid dynamics and differential geometry.