Linear Partial Differential Operators in Gevrey Spaces


Author: Luigi Rodino
Publisher: World Scientific
ISBN: 9789810208455
Category: Mathematics
Page: 251
View: 2943
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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: 1302
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Advances in Pseudo-Differential Operators


Author: Ryuichi Ashino,Paolo Boggiatto,Man-Wah Wong
Publisher: Birkhäuser
ISBN: 3034878400
Category: Mathematics
Page: 236
View: 7253
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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: 4112
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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: 4341
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Proceedings workshop "Partial differential equations"


Author: Luigi Rodino
Publisher: N.A
ISBN: N.A
Category: Differential equations, Partial
Page: 170
View: 751
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Hyperbolic Problems and Regularity Questions


Author: Mariarosaria Padula,Luisa Zanghirati
Publisher: Springer Science & Business Media
ISBN: 3764374519
Category: Mathematics
Page: 231
View: 4646
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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.

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: 5463
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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.

Indian Journal of Mathematics


Author: N.A
Publisher: N.A
ISBN: N.A
Category: Mathematics
Page: N.A
View: 6311
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Mathematical Reviews


Author: N.A
Publisher: N.A
ISBN: N.A
Category: Mathematics
Page: N.A
View: 4548
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Degenerate Differential Equations in Banach Spaces


Author: Angelo Favini,Atsushi Yagi
Publisher: CRC Press
ISBN: 9780824716776
Category: Mathematics
Page: 336
View: 5211
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This work presents a detailed study of linear abstract degenerate differential equations, using both the semigroups generated by multivalued (linear) operators and extensions of the operational method from Da Prato and Grisvard. The authors describe the recent and original results on PDEs and algebraic-differential equations, and establishes the analyzability of the semigroup generated by some degenerate parabolic operators in spaces of continuous functions.

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: 6956
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Bollettino Della Unione Matematica Italiana

A.
Author: N.A
Publisher: N.A
ISBN: N.A
Category: Mathematics
Page: N.A
View: 2582
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Reviews in partial differential equations, 1980-86, as printed in Mathematical reviews


Author: American Mathematical Society
Publisher: N.A
ISBN: N.A
Category: Differential equations, Partial
Page: 3998
View: 1852
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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: 1714
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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.”

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: 7629
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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.

New Developments in Pseudo-Differential Operators

ISAAC Group in Pseudo-Differential Operators (IGPDO), Middle East Technical University, Ankara,Turkey, August 2007
Author: Luigi Rodino,M. W. Wong
Publisher: Springer Science & Business Media
ISBN: 3764389699
Category: Mathematics
Page: 332
View: 1267
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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.

Partial Differential Equations and Mathematical Physics

In Memory of Jean Leray
Author: Kunihiko Kajitani,Jean Vaillant
Publisher: Springer Science & Business Media
ISBN: 1461200113
Category: Mathematics
Page: 243
View: 8791
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The 17 invited research articles in this volume, all written by leading experts in their respective fields, are dedicated to the great French mathematician Jean Leray. A wide range of topics with significant new results---detailed proofs---are presented in the areas of partial differential equations, complex analysis, and mathematical physics. Key subjects are: * Treated from the mathematical physics viewpoint: nonlinear stability of an expanding universe, the compressible Euler equation, spin groups and the Leray--Maslov index, * Linked to the Cauchy problem: an intermediate case between effective hyperbolicity and the Levi condition, global Cauchy--Kowalewski theorem in some Gevrey classes, the analytic continuation of the solution, necessary conditions for hyperbolic systems, well posedness in the Gevrey class, uniformly diagonalizable systems and reduced dimension, and monodromy of ramified Cauchy problem. Additional articles examine results on: * Local solvability for a system of partial differential operators, * The hypoellipticity of second order operators, * Differential forms and Hodge theory on analytic spaces, * Subelliptic operators and sub- Riemannian geometry. Contributors: V. Ancona, R. Beals, A. Bove, R. Camales, Y. Choquet- Bruhat, F. Colombini, M. De Gosson, S. De Gosson, M. Di Flaviano, B. Gaveau, D. Gourdin, P. Greiner, Y. Hamada, K. Kajitani, M. Mechab, K. Mizohata, V. Moncrief, N. Nakazawa, T. Nishitani, Y. Ohya, T. Okaji, S. Ouchi, S. Spagnolo, J. Vaillant, C. Wagschal, S. Wakabayashi The book is suitable as a reference text for graduate students and active researchers.

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: 9408
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Partial differential equations with multiple characteristics


Author: Maria Mascarello,Luigi Rodino
Publisher: John Wiley & Sons Inc
ISBN: 9783055017643
Category: Mathematics
Page: 352
View: 7568
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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.