Linear Partial Differential Operators in Gevrey Spaces


Author: Luigi Rodino
Publisher: World Scientific
ISBN: 9789810208455
Category: Mathematics
Page: 251
View: 4778
DOWNLOAD NOW »
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.

General Theory of Partial Differential Equations and Microlocal Analysis


Author: Min-You Qi,L Rodino
Publisher: CRC Press
ISBN: 9780582292123
Category: Mathematics
Page: 240
View: 562
DOWNLOAD NOW »


Advances in Pseudo-Differential Operators


Author: Ryuichi Ashino,Paolo Boggiatto,Man-Wah Wong
Publisher: Birkhäuser
ISBN: 3034878400
Category: Mathematics
Page: 236
View: 3122
DOWNLOAD NOW »
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.

Pseudo-Differential Operators and Related Topics


Author: Paolo Boggiatto,Luigi Rodino,Joachim Toft,M. W. Wong
Publisher: Springer Science & Business Media
ISBN: 3764375140
Category: Mathematics
Page: 244
View: 6853
DOWNLOAD NOW »
Contains articles based on lectures given at the International Conference on Pseudo-differential Operators and Related Topics at Vaxjo University in Sweden from June 22 to June 25, 2005. Sixteen refereed articles cover a spectrum of topics such as partial differential equations, Wigner transforms, mathematical physics, and more.

Linear Topological Spaces and Complex Analysis


Author: A. Aytuna
Publisher: N.A
ISBN: 9789754290776
Category: Linear topological spaces
Page: 125
View: 8163
DOWNLOAD NOW »


Partial Differential Equations

Approximate Solutions in Scales of Functional Spaces
Author: Todor V. Gramchev,Petar R. Popivanov
Publisher: Wiley-VCH
ISBN: N.A
Category: Science
Page: 156
View: 3234
DOWNLOAD NOW »
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.

Proceedings workshop "Partial differential equations"


Author: Luigi Rodino
Publisher: N.A
ISBN: N.A
Category: Differential equations, Partial
Page: 170
View: 9187
DOWNLOAD NOW »


Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations


Author: Werner Balser
Publisher: Springer Science & Business Media
ISBN: 0387225986
Category: Mathematics
Page: 301
View: 693
DOWNLOAD NOW »
Simple Ordinary Differential Equations may have solutions in terms of power series whose coefficients grow at such a rate that the series has a radius of convergence equal to zero. In fact, every linear meromorphic system has a formal solution of a certain form, which can be relatively easily computed, but which generally involves such power series diverging everywhere. In this book the author presents the classical theory of meromorphic systems of ODE in the new light shed upon it by the recent achievements in the theory of summability of formal power series.

Mathematical Reviews


Author: N.A
Publisher: N.A
ISBN: N.A
Category: Mathematics
Page: N.A
View: 3818
DOWNLOAD NOW »


Differentialgleichungen und ihre Anwendungen


Author: Martin Braun
Publisher: Springer-Verlag
ISBN: 3642973418
Category: Mathematics
Page: 596
View: 9726
DOWNLOAD NOW »
Dieses richtungsweisende Lehrbuch für die Anwendung der Mathematik in anderen Wissenschaftszweigen gibt eine Einführung in die Theorie der gewöhnlichen Differentialgleichungen. Fortran und APL-Programme geben den Studenten die Möglichkeit, verschiedene numerische Näherungsverfahren an ihrem PC selbst durchzurechnen. Aus den Besprechungen: "Die Darstellung ist überall mathematisch streng und zudem ungemein anregend. Abgesehen von manchen historischen Bemerkungen ... tragen dazu die vielen mit ausführlichem Hintergrund sehr eingehend entwickelten praktischen Anwendungen bei. ... Besondere Aufmerksamkeit wird der physikalisch und technisch so wichtigen Frage nach Stabilität von Lösungen eines Systems von Differentialgleichungen gewidmet. Das Buch ist wegen seiner geringen Voraussetzungen und vorzüglichen Didaktik schon für alle Studenten des 3. Semesters geeignet; seine eminent praktische Haltung empfiehlt es aber auch für alle Physiker, die mit Differentialgleichungen und ihren Anwendungen umzugehen haben." #Physikalische Blätter#

Fuchsian Differential Equations

With Special Emphasis on the Gauss-Schwarz Theory
Author: Masaaki Yoshida
Publisher: Springer-Verlag
ISBN: 3663141152
Category: Mathematics
Page: 215
View: 5725
DOWNLOAD NOW »


Singularities and differential equations


Author: Stanisław Janeczko,Wojciech M. Zajączkowski,Bogdan Ziemian
Publisher: N.A
ISBN: N.A
Category: Differential equations, Partial
Page: 501
View: 4333
DOWNLOAD NOW »


Bollettino Della Unione Matematica Italiana


Author: N.A
Publisher: N.A
ISBN: N.A
Category: Mathematics
Page: N.A
View: 2445
DOWNLOAD NOW »


Partial differential equations with multiple characteristics


Author: Maria Mascarello,Luigi Rodino
Publisher: John Wiley & Sons Inc
ISBN: 9783055017643
Category: Mathematics
Page: 352
View: 9355
DOWNLOAD NOW »
This book is devoted to the general theory of partial differential equations with multiple characteristics. The methods of the microlocal analysis are reviewed and used to prove recent results on local solvability, hypoellipticity, propagation of singularities in the frame of Sobolev spaces, Schwartz distributions, and Gevrey ultradistributions. The Cauchy problem is also considered.

Fourier Analysis

Pseudo-differential Operators, Time-Frequency Analysis and Partial Differential Equations
Author: Michael Ruzhansky,Ville Turunen
Publisher: Springer Science & Business Media
ISBN: 3319025503
Category: Mathematics
Page: 415
View: 1733
DOWNLOAD NOW »
This book is devoted to the broad field of Fourier analysis and its applications to several areas of mathematics, including problems in the theory of pseudo-differential operators, partial differential equations, and time-frequency analysis. It is based on lectures given at the international conference “Fourier Analysis and Pseudo-Differential Operators,” June 25–30, 2012, at Aalto University, Finland. This collection of 20 refereed articles is based on selected talks and presents the latest advances in the field. The conference was a satellite meeting of the 6th European Congress of Mathematics, which took place in Krakow in July 2012; it was also the 6th meeting in the series “Fourier Analysis and Partial Differential Equations.”

Reviews in partial differential equations, 1980-86, as printed in Mathematical reviews


Author: American Mathematical Society
Publisher: N.A
ISBN: 9780821801031
Category: Mathematics
Page: 3998
View: 4660
DOWNLOAD NOW »


Lineare Regelungs- und Steuerungstheorie


Author: Kurt Reinschke
Publisher: Springer-Verlag
ISBN: 3642409601
Category: Technology & Engineering
Page: 598
View: 711
DOWNLOAD NOW »
Der Leser wird befähigt, die mathematischen Werkzeuge der linearen Systemtheorie für regelungstechnische Zwecke einzusetzen. Im Zentrum stehen die funktionentheoretischen und algebraischen Zusammenhänge, die sowohl Trajektoriensteuerungen als auch den Entwurf robuster stabilisierender Regler sowie die zeitkontinuierliche Behandlung von Abtastregelkreisen ermöglichen. Zahlreiche Beispiele illustrieren die Anwendung der allgemeinen Gesetzmäßigkeiten. Bei der Modellierung von Regelstrecken werden die unvermeidlichen Unbestimmtheiten berücksichtigt. Das Werk liegt nun in der zweiten, vollständig überarbeiteten und neu strukturierten Fassung vor, die inhaltlich um neue Forschungsergebnisse zum Entwurf von Steuerungen und Reglern erweitert wurde.

Symposium "Partial Differential Equations"

Holzhau 1988
Author: Bert-Wolfgang Schulze,Hans Triebel,Karl-Weierstrass-Institut für Mathematik
Publisher: B. G. Teubner Gmbh
ISBN: N.A
Category: Differential equations, Partial
Page: 316
View: 8730
DOWNLOAD NOW »


Convegno Su Linear Partial and Pseudo Differential Operators

Torino 30 Settembre-2 Ottobre 1982
Author: N.A
Publisher: N.A
ISBN: N.A
Category: Linear operators
Page: 329
View: 5734
DOWNLOAD NOW »


Pseudo-Differential Operators: Analysis, Applications and Computations


Author: Luigi Rodino,M. W. Wong,Hongmei Zhu
Publisher: Springer Science & Business Media
ISBN: 9783034800495
Category: Mathematics
Page: 308
View: 8873
DOWNLOAD NOW »
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.