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Phase Space Analysis of Partial Differential Equations

Progress in Nonlinear Differential Equations and Their Applications 69

Erschienen am 19.09.2006, 1. Auflage 2006
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Bibliografische Daten
ISBN/EAN: 9780817645113
Sprache: Englisch
Umfang: xiv, 329 S.
Einband: gebundenes Buch

Beschreibung

InhaltsangabePreface.- 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 function.- 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 Fedii's theorem and extensions.- Outgoing parametrices and global Strichartz estimates for Schrödinger equations with variable coefficients.- On the analyticity of solutions of sum of squares of vector fields.- Index.

Autorenportrait

InhaltsangabeTrace 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 Schrödinger equations with variable coefficients.- On the analyticity of solutions of sums of squares of vector fields.