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Author : Min-You Qi
Publisher : CRC Press
ISBN 13 : 9780582292123
Total Pages : 248 pages
Book Rating : 4.2/5 (921 download)
Download or read book General Theory of Partial Differential Equations and Microlocal Analysis written by Min-You Qi and published by CRC Press. This book was released on 1996-05-20 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Min-You Qi
Publisher : Chapman and Hall/CRC
ISBN 13 : 9780582292123
Total Pages : 240 pages
Book Rating : 4.2/5 (921 download)
Download or read book General Theory of Partial Differential Equations and Microlocal Analysis written by Min-You Qi and published by Chapman and Hall/CRC. This book was released on 1996-05-20 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Luigi Rodino
Publisher : Springer Science & Business Media
ISBN 13 : 9401156263
Total Pages : 449 pages
Book Rating : 4.4/5 (11 download)
Download or read book Microlocal Analysis and Spectral Theory written by Luigi Rodino and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: The NATO Advanced Study Institute "Microlocal Analysis and Spectral The ory" was held in Tuscany (Italy) at Castelvecchio Pascoli, in the district of Lucca, hosted by the international vacation center "11 Ciocco" , from September 23 to October 3, 1996. The Institute recorded the considerable progress realized recently in the field of Microlocal Analysis. In a broad sense, Microlocal Analysis is the modern version of the classical Fourier technique in solving partial differential equa tions, where now the localization proceeding takes place with respect to the dual variables too. Precisely, through the tools of pseudo-differential operators, wave-front sets and Fourier integral operators, the general theory of the lin ear partial differential equations is now reaching a mature form, in the frame of Schwartz distributions or other generalized functions. At the same time, Microlocal Analysis has grown up into a definite and independent part of Math ematical Analysis, with other applications all around Mathematics and Physics, one major theme being Spectral Theory for Schrodinger equation in Quantum Mechanics.
Author : Victor Ivrii
Publisher : Springer Science & Business Media
ISBN 13 : 3662124963
Total Pages : 736 pages
Book Rating : 4.6/5 (621 download)
Download or read book Microlocal Analysis and Precise Spectral Asymptotics written by Victor Ivrii and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 736 pages. Available in PDF, EPUB and Kindle. Book excerpt: The problem of spectral asymptotics, in particular the problem of the asymptotic dis tribution of eigenvalues, is one of the central problems in the spectral theory of partial differential operators; moreover, it is very important for the general theory of partial differential operators. I started working in this domain in 1979 after R. Seeley found a remainder estimate of the same order as the then hypothetical second term for the Laplacian in domains with boundary, and M. Shubin and B. M. Levitan suggested that I should try to prove Weyl's conjecture. During the past fifteen years I have not left the topic, although I had such intentions in 1985 when the methods I invented seemed to fai! to provide furt her progress and only a couple of not very exciting problems remained to be solved. However, at that time I made the step toward local semiclassical spectral asymptotics and rescaling, and new horizons opened.
Author : Antonio Bove
Publisher : Springer Science & Business Media
ISBN 13 : 0817645217
Total Pages : 336 pages
Book Rating : 4.8/5 (176 download)
Download or read book Phase Space Analysis of Partial Differential Equations written by Antonio Bove and published by Springer Science & Business Media. This book was released on 2007-12-28 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers phase space analysis methods, including microlocal analysis, and their applications to physics Treats the linear and nonnlinear aspects of the theory of PDEs Original articles are self-contained with full proofs; survey articles give a quick and direct introduction to selected topics evolving at a fast pace Excellent reference and resource for grad students and researchers in PDEs and related fields
Author : Massimo Cicognani
Publisher : Springer Science & Business Media
ISBN 13 : 1461463483
Total Pages : 391 pages
Book Rating : 4.4/5 (614 download)
Download or read book Studies in Phase Space Analysis with Applications to PDEs written by Massimo Cicognani and published by Springer Science & Business Media. This book was released on 2013-03-12 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of original articles and surveys, emerging from a 2011 conference in Bertinoro, Italy, addresses recent advances in linear and nonlinear aspects of the theory of partial differential equations (PDEs). Phase space analysis methods, also known as microlocal analysis, have continued to yield striking results over the past years and are now one of the main tools of investigation of PDEs. Their role in many applications to physics, including quantum and spectral theory, is equally important. Key topics addressed in this volume include: *general theory of pseudodifferential operators *Hardy-type inequalities *linear and non-linear hyperbolic equations and systems *Schrödinger equations *water-wave equations *Euler-Poisson systems *Navier-Stokes equations *heat and parabolic equations Various levels of graduate students, along with researchers in PDEs and related fields, will find this book to be an excellent resource. Contributors T. Alazard P.I. Naumkin J.-M. Bony F. Nicola N. Burq T. Nishitani C. Cazacu T. Okaji J.-Y. Chemin M. Paicu E. Cordero A. Parmeggiani R. Danchin V. Petkov I. Gallagher M. Reissig T. Gramchev L. Robbiano N. Hayashi L. Rodino J. Huang M. Ruzhanky D. Lannes J.-C. Saut F. Linares N. Visciglia P.B. Mucha P. Zhang C. Mullaert E. Zuazua T. Narazaki C. Zuily
Author : Goro Kato
Publisher : CRC Press
ISBN 13 : 1000148394
Total Pages : 320 pages
Book Rating : 4.0/5 (1 download)
Download or read book Fundamentals of Algebraic Microlocal Analysis written by Goro Kato and published by CRC Press. This book was released on 2020-08-11 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Provides a thorough introduction to the algebraic theory of systems of differential equations, as developed by the Japanese school of M. Sato and his colleagues. Features a complete review of hyperfunction-microfunction theory and the theory of D-modules. Strikes the perfect balance between analytic and algebraic aspects."
Author : Alain Grigis
Publisher :
ISBN 13 : 9781139884921
Total Pages : 151 pages
Book Rating : 4.8/5 (849 download)
Download or read book Microlocal Analysis for Differential Operators written by Alain Grigis and published by . This book was released on 1994 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt: This short introduction to microlocal analysis is presented, in the spirit of Hörmander, in the classical framework of partial differential equations. This theory has important applications in areas such as harmonic and complex analysis, and also in theoretical physics. Here Grigis and Sjöstrand emphasise the basic tools, especially the method of stationary phase, and they discuss wavefront sets, elliptic operators, local symplectic geometry, and WKB-constructions. The contents of the book correspond to a graduate course given many times by the authors. It should prove to be useful to mathematicians and theoretical physicists, either to enrich their general knowledge of this area, or as preparation for the current research literature.
Author : Alain Grigis
Publisher : Cambridge University Press
ISBN 13 : 9780521449861
Total Pages : 164 pages
Book Rating : 4.4/5 (498 download)
Download or read book Microlocal Analysis for Differential Operators written by Alain Grigis and published by Cambridge University Press. This book was released on 1994-03-03 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book corresponds to a graduate course given many times by the authors, and should prove to be useful to mathematicians and theoretical physicists.
Author : Maria Mascarello
Publisher : Wiley-VCH
ISBN 13 :
Total Pages : 360 pages
Book Rating : 4.3/5 (91 download)
Download or read book Partial Differential Equations with Multiple Characteristics written by Maria Mascarello and published by Wiley-VCH. This book was released on 1997-11-03 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Yu.V. Egorov
Publisher : Springer
ISBN 13 : 9783662092088
Total Pages : 244 pages
Book Rating : 4.0/5 (92 download)
Download or read book Partial Differential Equations IV written by Yu.V. Egorov and published by Springer. This book was released on 2012-12-22 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: A two-part monograph covering recent research in an important field, previously scattered in numerous journals, including the latest results in the theory of mixed problems for hyperbolic operators. The book is hence of immense value to graduate students and researchers in partial differential equations and theoretical physics.
Author : Victor Ivrii
Publisher : Springer Nature
ISBN 13 : 3030305619
Total Pages : 739 pages
Book Rating : 4.0/5 (33 download)
Download or read book Microlocal Analysis, Sharp Spectral Asymptotics and Applications V written by Victor Ivrii and published by Springer Nature. This book was released on 2019-09-13 with total page 739 pages. Available in PDF, EPUB and Kindle. Book excerpt: The prime goal of this monograph, which comprises a total of five volumes, is to derive sharp spectral asymptotics for broad classes of partial differential operators using techniques from semiclassical microlocal analysis, in particular, propagation of singularities, and to subsequently use the variational estimates in “small” domains to consider domains with singularities of different kinds. In turn, the general theory (results and methods developed) is applied to the Magnetic Schrödinger operator, miscellaneous problems, and multiparticle quantum theory. In this volume the methods developed in Volumes I, II, III and IV are applied to multiparticle quantum theory (asymptotics of the ground state energy and related problems), and to miscellaneous spectral problems.
Author : Thierry Daudé
Publisher : Cambridge University Press
ISBN 13 : 1316649407
Total Pages : 381 pages
Book Rating : 4.3/5 (166 download)
Download or read book Asymptotic Analysis in General Relativity written by Thierry Daudé and published by Cambridge University Press. This book was released on 2018-01-11 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to modern methods for classical and quantum fields in general relativity / Thierry Daudé, Dietrich Häfner, and Jean-Philippe Nicolas -- Geometry of black hole spacetimes / Lars Andersson, Thomas B. Ackdahl, and Pieter Blue -- An introduction to Quantum Field Theory on curved space-times / Christian Gerard -- A minicourse on microlocal analysis for wave propagation / Andras Vasy -- An introduction to conformal geometry and tractor calculus, with a view to applications in general relativity / Sean N. Curry and A. Rod Gover
Author : Victor Ivrii
Publisher : Springer Nature
ISBN 13 : 3030305570
Total Pages : 889 pages
Book Rating : 4.0/5 (33 download)
Download or read book Microlocal Analysis, Sharp Spectral Asymptotics and Applications I written by Victor Ivrii and published by Springer Nature. This book was released on 2019-09-12 with total page 889 pages. Available in PDF, EPUB and Kindle. Book excerpt: The prime goal of this monograph, which comprises a total of five volumes, is to derive sharp spectral asymptotics for broad classes of partial differential operators using techniques from semiclassical microlocal analysis, in particular, propagation of singularities, and to subsequently use the variational estimates in “small” domains to consider domains with singularities of different kinds. In turn, the general theory (results and methods developed) is applied to the Magnetic Schrödinger operator, miscellaneous problems, and multiparticle quantum theory. In this volume the general microlocal semiclassical approach is developed, and microlocal and local semiclassical spectral asymptotics are derived.
Author : Victor Ivrii
Publisher : Springer Nature
ISBN 13 : 3030305376
Total Pages : 729 pages
Book Rating : 4.0/5 (33 download)
Download or read book Microlocal Analysis, Sharp Spectral Asymptotics and Applications III written by Victor Ivrii and published by Springer Nature. This book was released on 2019-09-12 with total page 729 pages. Available in PDF, EPUB and Kindle. Book excerpt: The prime goal of this monograph, which comprises a total of five volumes, is to derive sharp spectral asymptotics for broad classes of partial differential operators using techniques from semiclassical microlocal analysis, in particular, propagation of singularities, and to subsequently use the variational estimates in “small” domains to consider domains with singularities of different kinds. In turn, the general theory (results and methods developed) is applied to the Magnetic Schrödinger operator, miscellaneous problems, and multiparticle quantum theory. In this volume the methods developed in Volumes I and II are applied to the Schrödinger and Dirac operators in smooth settings in dimensions 2 and 3.
Author : Victor Ivrii
Publisher : Springer Nature
ISBN 13 : 3030305414
Total Pages : 525 pages
Book Rating : 4.0/5 (33 download)
Download or read book Microlocal Analysis, Sharp Spectral Asymptotics and Applications II written by Victor Ivrii and published by Springer Nature. This book was released on 2019-09-11 with total page 525 pages. Available in PDF, EPUB and Kindle. Book excerpt: The prime goal of this monograph, which comprises a total of five volumes, is to derive sharp spectral asymptotics for broad classes of partial differential operators using techniques from semiclassical microlocal analysis, in particular, propagation of singularities, and to subsequently use the variational estimates in “small” domains to consider domains with singularities of different kinds. In turn, the general theory (results and methods developed) is applied to the Magnetic Schrödinger operator, miscellaneous problems, and multiparticle quantum theory. In this volume the local spectral asymptotics of Volume I in the regular part of the domain are combined with variational estimates in the vicinity of singularities, and global asymptotics are derived in the general form. They are then applied to multiple cases and asymptotics with respect to a spectral parameter. Finally, cases in which only general methods but not the results can be applied (non-standard asymptotics) are studied.
Author : Victor Ivrii
Publisher : Springer Nature
ISBN 13 : 3030305457
Total Pages : 714 pages
Book Rating : 4.0/5 (33 download)
Download or read book Microlocal Analysis, Sharp Spectral Asymptotics and Applications IV written by Victor Ivrii and published by Springer Nature. This book was released on 2019-09-11 with total page 714 pages. Available in PDF, EPUB and Kindle. Book excerpt: The prime goal of this monograph, which comprises a total of five volumes, is to derive sharp spectral asymptotics for broad classes of partial differential operators using techniques from semiclassical microlocal analysis, in particular, propagation of singularities, and to subsequently use the variational estimates in “small” domains to consider domains with singularities of different kinds. In turn, the general theory (results and methods developed) is applied to the Magnetic Schrödinger operator, miscellaneous problems, and multiparticle quantum theory. In this volume the methods developed in Volumes I, II and III are applied to the Schrödinger and Dirac operators in non-smooth settings and in higher dimensions.
