Magnetic virial identities, weak dispersion and Strichartz inequalities
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Publication:1014211
DOI10.1007/s00208-008-0303-7zbMath1163.35005arXiv0806.0778OpenAlexW2135614128MaRDI QIDQ1014211
Publication date: 27 April 2009
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0806.0778
Wave equation (35L05) Schrödinger operator, Schrödinger equation (35J10) Electromagnetic theory (general) (78A25)
Related Items (28)
Global well-posedness for the non-linear Maxwell-Schrödinger system ⋮ A limiting absorption principle for the Helmholtz equation with variable coefficients ⋮ Generalized Hardy operators ⋮ Scattering in the energy space for the NLS with variable coefficients ⋮ Hardy uncertainty principle and unique continuation properties of covariant Schrödinger flows ⋮ The forward problem for the electromagnetic Helmholtz equation with critical singularities ⋮ Global-in-time smoothing effects for Schrödinger equations with inverse-square potentials ⋮ Global existence and uniqueness for the magnetic Hartree equation ⋮ Virial identity and weak dispersion for the magnetic Dirac equation ⋮ General \(\delta\)-shell interactions for the two-dimensional Dirac operator: self-adjointness and approximation ⋮ On the lack of dispersion for a class of magnetic Dirac flows ⋮ Threshold for blowup and stability for nonlinear Schrödinger equation with rotation ⋮ Lp resolvent estimates for magnetic Schrödinger operators with unbounded background fields ⋮ COUNTEREXAMPLES TO STRICHARTZ ESTIMATES FOR THE MAGNETIC SCHRÖDINGER EQUATION ⋮ Limiting absorption principle and Strichartz estimates for Dirac operators in two and higher dimensions ⋮ Energy concentration and explicit Sommerfeld radiation condition for the electromagnetic Helmholtz equation ⋮ Endpoint Strichartz estimates for the magnetic Schrödinger equation ⋮ Uniform resolvent estimates and absence of eigenvalues for Lamé operators with complex potentials ⋮ Weighted estimates for powers and smoothing estimates of Schrödinger operators with inverse-square potentials ⋮ Non-linear Schrödinger equation in a uniform magnetic field ⋮ Smoothing estimates for the Schrödinger equation with unbounded potentials ⋮ Non-trapping magnetic fields and Morrey-Campanato estimates for Schrödinger operators ⋮ Decay and Strichartz estimates in critical electromagnetic fields ⋮ Mass propagation for electromagnetic Schrödinger evolutions ⋮ Sharp Hardy uncertainty principle and gaussian profiles of covariant Schrödinger evolutions ⋮ Unique continuation for the magnetic Schrödinger operator with singular potentials ⋮ Universal Upper Bound on the Blowup Rate of Nonlinear Schrödinger Equation with Rotation ⋮ \(H^1\)-scattering for systems of \(N\)-defocusing weakly coupled NLS equations in low space dimensions
Cites Work
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- Smoothing-Strichartz estimates for the Schrödinger equation with small magnetic potential
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- Schrodinger Equations: Pointwise Convergence to the Initial Data
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- Endpoint Strichartz estimates
- Strichartz and smoothing estimates for Schrödinger operators with almost critical magnetic potentials in three and higher dimensions
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- Time decay for the nonlinear Klein-Gordon equation
- Schrödinger operators with singular magnetic vector potentials
- Maximal functions associated to filtrations
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