Reconstruction of singularities for solutions of Schrödinger equations
From MaRDI portal
Publication:493703
DOI10.1007/s11868-014-0096-2zbMath1333.35362OpenAlexW2094267010WikidataQ115377582 ScholiaQ115377582MaRDI QIDQ493703
Publication date: 4 September 2015
Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11868-014-0096-2
Schrödinger equationmodulation spacesshort-time Fourier transformWiener algebraFourier integral operatorsmetaplectic operator
Schrödinger operator, Schrödinger equation (35J10) General harmonic expansions, frames (42C15) Fourier integral operators applied to PDEs (35S30) Singularity in context of PDEs (35A21) Pseudodifferential operators (47G30)
Related Items
Boundedness of pseudodifferential operators with symbols in Wiener amalgam spaces on modulation spaces ⋮ On exceptional times for pointwise convergence of integral kernels in Feynman-Trotter path integrals ⋮ An introduction to the Gabor wave front set ⋮ Time-frequency analysis of the Dirac equation ⋮ On the pointwise convergence of the integral kernels in the Feynman-Trotter formula ⋮ Integral representations for the class of generalized metaplectic operators ⋮ Estimates on the modulation spaces for the Dirac equation with potential ⋮ Propagation of Gabor singularities for Schrödinger equations with quadratic Hamiltonians ⋮ On the 1D cubic nonlinear Schrödinger equation in an almost critical space ⋮ Approximation of Feynman path integrals with non-smooth potentials ⋮ A characterization of modulation spaces by symplectic rotations ⋮ On the Continuity of $$\tau $$-Wigner Pseudodifferential Operators ⋮ Lagrangian distributions and Fourier integral operators with quadratic phase functions and Shubin amplitudes
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Schrödinger equations with rough Hamiltonians
- Representation of Schrödinger operator of a free particle via short-time Fourier transform and its applications
- Approximation of Fourier integral operators by Gabor multipliers
- Analytic wave front set for solutions to Schrödinger equations
- Reconstruction of singularities for solutions of Schrödinger's equation
- The Schrödinger propagator for scattering metrics
- Isometric decomposition operators, function spaces \(E_{p,q}^{\lambda}\) and applications to nonlinear evolution equations
- The global Cauchy problem for the NLS and NLKG with small rough data
- Time-frequency analysis of Sjöstrand's class
- Unimodular Fourier multipliers for modulation spaces
- Time-frequency analysis of Fourier integral operators
- Banach algebras of pseudodifferential operators and their almost diagonalization
- Semiclassical singularities propagation property for Schrödinger equations
- Microlocal smoothing effect for the Schrödinger evolution equation in a Gevrey class
- Sparsity of Gabor representation of Schrödinger propagators
- Weyl transforms
- Foundations of time-frequency analysis
- Propagation of the homogeneous wave front set for Schrödinger equations
- On the integral representations for metaplectic operators
- \(L^ p\)-mapping properties of functions of Schrödinger operators and their applications to scattering theory
- Wiener algebras of Fourier integral operators
- Triangular subgroups of \(Sp(d,\mathbb R)\) and reproducing formulae
- Propagation of singularities and growth for Schrödinger operators
- Estimates on modulation spaces for Schrödinger evolution operators with quadratic and sub-quadratic potentials
- The Gabor wave front set
- Metaplectic representation on Wiener amalgam spaces and applications to the Schrödinger equation
- A short course on operator semigroups
- Analytic features of reproducing groups for the metaplectic representation
- Microlocal analysis of quasianalytic Gelfand-Shilov type ultradistributions
- Schrödinger Equations in Modulation Spaces
- Generalized metaplectic operators and the Schrödinger equation with a potential in the Sjöstrand class
- Propagation of Singularities for Schrödinger Equations on the Euclidean Space with a Scattering Metric
- Symplectic Methods in Harmonic Analysis and in Mathematical Physics
- Singularities of solutions to the Schrödinger equation on scattering manifold
- A Symbol Class for Some Schrodinger Equations on R n
- Harmonic Analysis in Phase Space. (AM-122)
- Equality of the homogeneous and the Gabor wave front set
- Modulation Spaces and Nonlinear Evolution Equations
- Propagation of the Gabor wave front set for Schrödinger equations with non-smooth potentials
- Analytic smoothing effect for the Schrödinger equation with long‐range perturbation
