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Book
Advances in phase space analysis of partial differential equations : in honor of Ferruccio Colombini's 60th birthday
Authors: ---
ISBN: 9780817648602 Year: 2009 Volume: 78 Publisher: Boston : Birkhäuser,

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Book
Studies in Phase Space Analysis with Applications to PDEs
Authors: --- ---
ISBN: 148999940X 1461463475 1461463483 Year: 2013 Publisher: New York, NY : Springer New York : Imprint: Birkhäuser,

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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.

Keywords

Differential equations, Partial. --- Global analysis (Mathematics). --- Mathematics. --- Phase space (Statistical physics). --- Phase space (Statistical physics) --- Differential equations, Partial --- Mathematics --- Physical Sciences & Mathematics --- Calculus --- Partial differential equations --- Space, Phase (Statistical physics) --- Mathematical analysis. --- Analysis (Mathematics). --- Dynamics. --- Ergodic theory. --- Differential equations. --- Partial differential equations. --- Applied mathematics. --- Engineering mathematics. --- Mathematical physics. --- Partial Differential Equations. --- Dynamical Systems and Ergodic Theory. --- Mathematical Physics. --- Ordinary Differential Equations. --- Analysis. --- Applications of Mathematics. --- Generalized spaces --- Differential equations, partial. --- Differentiable dynamical systems. --- Differential Equations. --- Math --- Science --- Analysis, Global (Mathematics) --- Differential topology --- Functions of complex variables --- Geometry, Algebraic --- 517.91 Differential equations --- Differential equations --- Differential dynamical systems --- Dynamical systems, Differentiable --- Dynamics, Differentiable --- Global analysis (Mathematics) --- Topological dynamics --- Physical mathematics --- Physics --- Ergodic transformations --- Continuous groups --- Mathematical physics --- Measure theory --- Transformations (Mathematics) --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Statics --- Engineering --- Engineering analysis --- Mathematical analysis --- 517.1 Mathematical analysis


Digital
Studies in Phase Space Analysis with Applications to PDEs
Authors: --- ---
ISBN: 9781461463481 Year: 2013 Publisher: New York, NY Springer, Imprint: Birkhäuser


Digital
Shocks, Singularities and Oscillations in Nonlinear Optics and Fluid Mechanics
Authors: --- ---
ISBN: 9783319520421 Year: 2017 Publisher: Cham Springer International Publishing

Phase Space Analysis of Partial Differential Equations
Authors: --- --- --- ---
ISBN: 081764511X 9786611148614 128114861X 0817645217 Year: 2007 Publisher: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser,

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Abstract

This collection of original articles and surveys treats linear and nonlinear aspects of the theory of partial differential equations. Phase space analysis methods, also known as microlocal analysis, have yielded striking results over the past years and have become one of the main tools of investigation. Equally important is their role in many applications to physics, for example, in quantum and spectral theory. Key topics: * The Cauchy problem for linear and nonlinear hyperbolic equations * Scattering theory * Inverse problems * Hyperbolic systems * Gevrey regularity of solutions of PDEs * Analytic hypoellipticity and unique features: * Original articles are self-contained with full proofs * Survey articles give a quick and direct introduction to selected topics evolving at a fast pace Graduate students at various levels as well as researchers in PDEs and related fields will find this an excellent resource.


Book
Shocks, Singularities and Oscillations in Nonlinear Optics and Fluid Mechanics
Authors: --- --- --- ---
ISBN: 3319520423 3319520415 Year: 2017 Publisher: Cham : Springer International Publishing : Imprint: Springer,

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The book collects the most relevant results from the INdAM Workshop "Shocks, Singularities and Oscillations in Nonlinear Optics and Fluid Mechanics" held in Rome, September 14-18, 2015. The contributions discuss recent major advances in the study of nonlinear hyperbolic systems, addressing general theoretical issues such as symmetrizability, singularities, low regularity or dispersive perturbations. It also investigates several physical phenomena where such systems are relevant, such as nonlinear optics, shock theory (stability, relaxation) and fluid mechanics (boundary layers, water waves, Euler equations, geophysical flows, etc.). It is a valuable resource for researchers in these fields. .


Book
Phase Space Analysis of Partial Differential Equations
Authors: --- --- ---
ISBN: 9780817645212 Year: 2007 Publisher: Boston MA Birkhäuser Boston

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Abstract

This collection of original articles and surveys treats linear and nonlinear aspects of the theory of partial differential equations. Phase space analysis methods, also known as microlocal analysis, have yielded striking results over the past years and have become one of the main tools of investigation. Equally important is their role in many applications to physics, for example, in quantum and spectral theory. Key topics: * The Cauchy problem for linear and nonlinear hyperbolic equations * Scattering theory * Inverse problems * Hyperbolic systems * Gevrey regularity of solutions of PDEs * Analytic hypoellipticity and unique features: * Original articles are self-contained with full proofs * Survey articles give a quick and direct introduction to selected topics evolving at a fast pace Graduate students at various levels as well as researchers in PDEs and related fields will find this an excellent resource.


Multi
Phase Space Analysis of Partial Differential Equations
Authors: --- --- ---
ISBN: 9780817645212 Year: 2007 Publisher: Boston MA Birkhäuser Boston

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Abstract

This collection of original articles and surveys treats linear and nonlinear aspects of the theory of partial differential equations. Phase space analysis methods, also known as microlocal analysis, have yielded striking results over the past years and have become one of the main tools of investigation. Equally important is their role in many applications to physics, for example, in quantum and spectral theory. Key topics: * The Cauchy problem for linear and nonlinear hyperbolic equations * Scattering theory * Inverse problems * Hyperbolic systems * Gevrey regularity of solutions of PDEs * Analytic hypoellipticity and unique features: * Original articles are self-contained with full proofs * Survey articles give a quick and direct introduction to selected topics evolving at a fast pace Graduate students at various levels as well as researchers in PDEs and related fields will find this an excellent resource.

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