Phase space analysis of partial differential equations
Author(s)
Bibliographic Information
Phase space analysis of partial differential equations
（Progress in nonlinear differential equations and their applications / editor, Haim Brezis, 69）
Birkhäuser, c2006
Available at 19 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
C-P||Pienza||2005.11200021326324
Note
Includes bibliographical references
Description and Table of Contents
Description
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
Table of Contents
Trace theorem on the Heisenberg group on homogeneous hypersurfaces.- Strong unique continuation and finite jet determination for Cauchy-Riemann mappings.- On the Cauchy problem for some hyperbolic operator with double characteristics.- On the differentiability class of the admissible square roots of regular nonnegative functions.- The Benjamin-Ono equation in energy space.- Instabilities in Zakharov equations for laser propagation in a plasma.- Symplectic strata and analytic hypoellipticity.- On the backward uniqueness property for a class of parabolic operators.- Inverse problems for hyperbolic equations.- On the optimality of some observability inequalities for plate systems with potentials.- Some geometric evolution equations arising as geodesic equations on groups of diffeomorphisms including the Hamiltonian approach.- Non-effectively hyperbolic operators and bicharacteristics.- On the Fefferman-Phong inequality for systems of PDEs.- Local energy decay and Strichartz estimates for the wave equation with time-periodic perturbations.- An elementary proof of Fedi?'s theorem and extensions.- Outgoing parametrices and global Strichartz estimates for Schroedinger equations with variable coefficients.- On the analyticity of solutions of sums of squares of vector fields.
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