Studies in Phase Space Analysis with Applications to PDEs, 1st Edition

  • Published By:
  • ISBN-10: 1461463483
  • ISBN-13: 9781461463481
  • DDC: 530.13
  • Grade Level Range: College Freshman - College Senior
  • 379 Pages | eBook
  • Original Copyright 2013 | Published/Released June 2014
  • This publication's content originally published in print form: 2013

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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.

Table of Contents

Front Cover.
Other Frontmatter.
Half Title Page.
Title Page.
Copyright Page.
List of Contributors.
1: The Water-Wave Equations: From Zakharov to Euler.
2: On the Characterization of Pseudodifferential Operators (Old and New).
3: Improved Multipolar Hardy Inequalities.
4: The Role of Spectral Anisotropy in the Resolution of the Three-Dimensional Navier–Stokes Equations.
5: Schrödinger Equations in Modulation Spaces.
6: New Maximal Regularity Results for the Heat Equation in Exterior Domains, and Applications.
7: Cauchy Problem for Some 2 × 2 Hyperbolic Systems of Pseudo-Differential Equations with Nondiagonalisable Principal Part.
8: Scattering Problem for Quadratic Nonlinear Klein–Gordon Equation in 2D.
9: Global Solutions to the 3-D Incompressible Inhomogeneous Navier–Stokes System with Rough Density.
10: The Cauchy Problem for the Euler–Poisson System and Derivation of the Zakharov–Kuznetsov Equation.
11: L1 Estimates for Oscillating Integrals Related to Structural Damped Wave Models.
12: On the Cauchy Problem for Noneffectively Hyperbolic Operators, a Transition Case.
13: A Note on Unique Continuation for Parabolic Operators with Singular Potentials.
14: On the Problem of Positivity of Pseudodifferential Systems.
15: Scattering Problems for Symmetric Systems with Dissipative Boundary Conditions.
16: Kato Smoothing Effect for Schrödinger Operator.
17: On the Cauchy Problem for NLS with Randomized Initial Data.