Dispersive Estimates for the Schrödinger Equation with Potentials of Critical Regularity
-
Fernando Cardoso
fernando@dmat.ufpe.br
-
Claudio Cuevas
cch@dmat.ufpe.br
-
Georgi Vodev
vodev@math.univ-nantes.fr
Downloads
Abstract
We prove L1 → L∞ dispersive estimates with a logarithmic loss of derivatives for the Schrödinger group eit(−Δ+V) for a class of real-valued potentials V ∈ C(n−3)/2(â„›n), V(x) = O(〈x〉−δ), where n = 4, 5, δ > 3 if n = 4 and δ > 5 if n = 5.
Keywords
Most read articles by the same author(s)
- Kaïs Ammari, Georgi Vodev, Boundary Stabilization of the Transmission Problem for the Bernoulli-Euler Plate Equation , CUBO, A Mathematical Journal: Vol. 11 No. 5 (2009): CUBO, A Mathematical Journal
- Georgi Vodev, Resonances in the Euclidean Scattering , CUBO, A Mathematical Journal: Vol. 3 No. 1 (2001): CUBO, Matemática Educacional
- Georgi Vodev, Semi-Classical Propagation of Singularities on Riemannian Manifolds without Boundary and Applications , CUBO, A Mathematical Journal: Vol. 5 No. 3 (2003): CUBO, Matemática Educacional
- Fernando Cardoso, Fourier Integral Operators: Origin and Usefulness , CUBO, A Mathematical Journal: Vol. 4 No. 1 (2002): CUBO, Matemática Educacional
- Fernando Cardoso, Operadores Pseudodiferenciais: Origem e Utilidade , CUBO, A Mathematical Journal: Vol. 4 No. 2 (2002): CUBO, Matemática Educacional
Similar Articles
- Jürgen Tolksdorf, Dirac Type Gauge Theories – Motivations and Perspectives , CUBO, A Mathematical Journal: Vol. 11 No. 1 (2009): CUBO, A Mathematical Journal
- Bapurao C. Dhage, John R. Graef, Shyam B. Dhage, Existence, stability and global attractivity results for nonlinear Riemann-Liouville fractional differential equations , CUBO, A Mathematical Journal: Vol. 25 No. 1 (2023)
- Chao-Ping Chen, Ai-Qi Liu, Feng Qi, Proofs for the Limit of Ratios of Consecutive Terms in Fibonacci Sequence , CUBO, A Mathematical Journal: Vol. 5 No. 3 (2003): CUBO, Matemática Educacional
- Volodymyr Sushch, Discrete model of Yang-Mills equations in Minkowski space , CUBO, A Mathematical Journal: Vol. 6 No. 2 (2004): CUBO, A Mathematical Journal
- Rigoberto Medina, Asymptotic behavior of the solution of a nonlinear differential equation , CUBO, A Mathematical Journal: No. 6 (1990): CUBO, Revista de Matemática
- Tingxiu Wang, Some General Theorems on Uniform Boundedness for Functional Differential Equations , CUBO, A Mathematical Journal: Vol. 11 No. 3 (2009): CUBO, A Mathematical Journal
- Bo Zhang, Boundedness and Global Attractivity of Solutions for a System of Nonlinear Integral Equations , CUBO, A Mathematical Journal: Vol. 11 No. 3 (2009): CUBO, A Mathematical Journal
- Ronald Grimmer, Min He, Fixed Point Theory and Nonlinear Periodic Systems , CUBO, A Mathematical Journal: Vol. 11 No. 3 (2009): CUBO, A Mathematical Journal
- Cemil Tunc, On the uniform asymptotic stability to certain first order neutral differential equations , CUBO, A Mathematical Journal: Vol. 16 No. 2 (2014): CUBO, A Mathematical Journal
- K. Gürlebeck, J. Morais, On mapping properties of monogenic functions , CUBO, A Mathematical Journal: Vol. 11 No. 1 (2009): CUBO, A Mathematical Journal
<< < 3 4 5 6 7 8 9 10 11 12 13 14 > >>
You may also start an advanced similarity search for this article.
Downloads
Download data is not yet available.
Published
2009-12-01
How to Cite
[1]
F. Cardoso, C. Cuevas, and G. Vodev, “Dispersive Estimates for the Schrödinger Equation with Potentials of Critical Regularity”, CUBO, vol. 11, no. 5, pp. 57–70, Dec. 2009.
Issue
Section
Articles
