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Strichartz and smoothing estimates for dispersive equations with magnetic potentials
We prove global smoothing and Strichartz estimates for the Schrödinger, wave, Klein–
Gordon equations and for the massless and massive Dirac systems, perturbed with singular …
Gordon equations and for the massless and massive Dirac systems, perturbed with singular …
Time decay of scaling critical electromagnetic Schrödinger flows
We obtain a representation formula for solutions to Schrödinger equations with a class of
homogeneous, scaling-critical electromagnetic potentials. As a consequence, we prove the …
homogeneous, scaling-critical electromagnetic potentials. As a consequence, we prove the …
On pointwise decay of waves
W Schlag - Journal of Mathematical Physics, 2021 - pubs.aip.org
This paper introduces some of the basic mechanisms relating the behavior of the spectral
measure of Schrödinger operators near zero energy to the long-term decay and dispersion …
measure of Schrödinger operators near zero energy to the long-term decay and dispersion …
[کتاب][B] Topologically protected states in one-dimensional systems
C Fefferman, J Lee-Thorp, M Weinstein - 2017 - ams.org
We study a class of periodic Schrödinger operators, which in distinguished cases can be
proved to have linear band-crossings or “Dirac points”. We then show that the introduction of …
proved to have linear band-crossings or “Dirac points”. We then show that the introduction of …
Dispersion estimates for one-dimensional Schrödinger and Klein–Gordon equations revisited
It is shown that for a one-dimensional Schrödinger operator with a potential whose first
moment is integrable the elements of the scattering matrix are in the unital Wiener algebra of …
moment is integrable the elements of the scattering matrix are in the unital Wiener algebra of …
Lp-boundedness of wave operators for bi-Schrödinger operators on the line
This paper is devoted to establishing several types of L p-boundedness of wave operators
W±= W±(H, Δ 2) associated with the bi-Schrödinger operators H= Δ 2+ V (x) on the line R …
W±= W±(H, Δ 2) associated with the bi-Schrödinger operators H= Δ 2+ V (x) on the line R …
[HTML][HTML] Scattering for NLS with a delta potential
Scattering for NLS with a delta potential - ScienceDirect Skip to main contentSkip to article
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Elsevier logo Journals & Books Search RegisterSign in View PDF Download full issue Search …
The Lp-boundedness of wave operators for fourth order Schrödinger operators on R4
We prove that the wave operators of the scattering theory for the fourth order Schrödinger
operator 2 CV. x/on R4 are bounded in Lp. R4/for the set of p's of. 1; 1/depending on the kind …
operator 2 CV. x/on R4 are bounded in Lp. R4/for the set of p's of. 1; 1/depending on the kind …
The Lp-continuity of wave operators for higher order Schrödinger operators
We consider the higher order Schrödinger operator H=(− Δ) m+ V (x) in n dimensions with
real-valued potential V when n> 2 m, m∈ N, m> 1. When n is odd, we prove that the wave …
real-valued potential V when n> 2 m, m∈ N, m> 1. When n is odd, we prove that the wave …
Kato smoothing and Strichartz estimates for wave equations with magnetic potentials
Let H be a selfadjoint operator and A a closed operator on a Hilbert space H H. If A is H-
(super) smooth in the sense of Kato-Yajima, we prove that AH^-1 4 AH-1 4 is H H-(super) …
(super) smooth in the sense of Kato-Yajima, we prove that AH^-1 4 AH-1 4 is H H-(super) …