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
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
Produktdetails
Produktdetails
Progress in Nonlinear Differential Equations and Their Applications 69
Preface.- 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.
Preface.- 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.
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