Advances In Phase Space Analysis Of Partial Differential Equations

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Advances In Phase Space Analysis Of Partial Differential Equations

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Author : Antonio Bove
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-09-18

Advances In Phase Space Analysis Of Partial Differential Equations written by Antonio Bove 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 2009-09-18 with Mathematics categories.

This collection of original articles and surveys addresses the recent advances in linear and nonlinear aspects of the theory of partial differential equations. The key topics include operators as "sums of squares" of real and complex vector fields, nonlinear evolution equations, local solvability, and hyperbolic questions.

Phase Space Analysis Of Partial Differential Equations

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Author : Antonio Bove
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-28

Phase Space Analysis Of Partial Differential Equations written by Antonio Bove 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 2007-12-28 with Mathematics categories.

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

Studies In Phase Space Analysis With Applications To Pdes

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Author : Massimo Cicognani
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-12

Studies In Phase Space Analysis With Applications To Pdes written by Massimo Cicognani 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 2013-03-12 with Mathematics categories.

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

Phase Space Analysis Of Partial Differential Equations

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Author : Antonio Bove
language : en
Publisher: Springer
Release Date : 2006-09-19

Phase Space Analysis Of Partial Differential Equations written by Antonio Bove and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-09-19 with Mathematics categories.

A collection of original articles and surveys that treats the linear and nonlinear aspects of the theory of partial differential equations. It is suitable for graduate students at various levels as well as researchers in PDEs and related fields.

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.

Approaches To Singular Analysis

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Author : Juan B. Gil
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-03

Approaches To Singular Analysis written by Juan B. Gil 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 2001-03 with Mathematics categories.

This collection presents various approaches to analytic problems that arise in the context of singular spaces. It contains articles offering introductions to various pseudodifferential calculi and discussions of relations between them, plus invited papers from mathematicians who have made significant contributions to this field

Harmonic Analysis And Partial Differential Equations

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Author : Michael Ruzhansky
language : en
Publisher: Springer Nature
Release Date : 2023-03-06

Harmonic Analysis And Partial Differential Equations written by Michael Ruzhansky and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-06 with Mathematics categories.

This book collects papers related to the session “Harmonic Analysis and Partial Differential Equations” held at the 13th International ISAAC Congress in Ghent and provides an overview on recent trends and advances in the interplay between harmonic analysis and partial differential equations. The book can serve as useful source of information for mathematicians, scientists and engineers. The volume contains contributions of authors from a variety of countries on a wide range of active research areas covering different aspects of partial differential equations interacting with harmonic analysis and provides a state-of-the-art overview over ongoing research in the field. It shows original research in full detail allowing researchers as well as students to grasp new aspects and broaden their understanding of the area.

Advances In Nonlinear Partial Differential Equations And Related Areas A Volume In Honor Of Prof Xia

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Author : Gui-qiang Chen
language : en
Publisher: World Scientific
Release Date : 1998-12-04

Advances In Nonlinear Partial Differential Equations And Related Areas A Volume In Honor Of Prof Xia written by Gui-qiang Chen and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-12-04 with Mathematics categories.

This volume is a collection of research papers on nonlinear partial differential equations and related areas, representing many aspects of the most recent developments in these important areas. In particular, the following are included: nonlinear conservation laws, semilinear elliptic equations, nonlinear hyperbolic equations, nonlinear parabolic equations, singular limit problems, and analysis of exact and numerical solutions. Important areas such as numerical analysis, relaxation theory, multiphase theory, kinetic theory, combustion theory, dynamical systems, and quantum field theory are also covered.

Analysis And Partial Differential Equations On Manifolds Fractals And Graphs

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Author : Alexander Grigor'yan
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2021-01-18

Analysis And Partial Differential Equations On Manifolds Fractals And Graphs written by Alexander Grigor'yan and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-18 with Mathematics categories.

The book covers the latest research in the areas of mathematics that deal the properties of partial differential equations and stochastic processes on spaces in connection with the geometry of the underlying space. Written by experts in the field, this book is a valuable tool for the advanced mathematician.

Advances In Numerical Analysis

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Author : William Allan Light
language : en
Publisher:
Release Date : 1991

Advances In Numerical Analysis written by William Allan Light and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Numerical analysis categories.