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
- Vito Lampret, Basic asymptotic estimates for powers of Wallis‘ ratios , CUBO, A Mathematical Journal: Vol. 23 No. 3 (2021)
- U. Traoré, Entropy solution for a nonlinear parabolic problem with homogeneous Neumann boundary condition involving variable exponents , CUBO, A Mathematical Journal: Vol. 23 No. 3 (2021)
- Saleh S. Almuthaybiri, Jagan Mohan Jonnalagadda, Christopher C. Tisdell, Existence and uniqueness of solutions to discrete, third-order three-point boundary value problems , CUBO, A Mathematical Journal: Vol. 23 No. 3 (2021)
- Hasnae El Hammar, Chakir Allalou, Adil Abbassi, Abderrazak Kassidi, The topological degree methods for the fractional \(p(\cdot)\)-Laplacian problems with discontinuous nonlinearities , CUBO, A Mathematical Journal: Vol. 24 No. 1 (2022)
- Masaya Kawamura, On an \(a\) \(priori\) \(L^\infty\) estimate for a class of Monge-Ampère type equations on compact almost Hermitian manifolds , CUBO, A Mathematical Journal: Vol. 24 No. 2 (2022)
- Fouad Fredj, Hadda Hammouche, On existence results for hybrid \(\psi-\)Caputo multi-fractional differential equations with hybrid conditions , CUBO, A Mathematical Journal: Vol. 24 No. 2 (2022)
- N. S. Gopal, J. M. Jonnalagadda, Positive solutions of nabla fractional boundary value problem , CUBO, A Mathematical Journal: Vol. 24 No. 3 (2022)
- Filippo Cammaroto, Infinitely many solutions for a nonlinear Navier problem involving the \(p\)-biharmonic operator , CUBO, A Mathematical Journal: Vol. 24 No. 3 (2022)
- René Erlín Castillo, Babar Sultan, A derivative-type operator and its application to the solvability of a nonlinear three point boundary value problem , CUBO, A Mathematical Journal: Vol. 24 No. 3 (2022)
- Gradimir V. Milovanović, Abdullah Mir, Adil Hussain, Estimates for the polar derivative of a constrained polynomial on a disk , CUBO, A Mathematical Journal: Vol. 24 No. 3 (2022)
<< < 8 9 10 11 12 13 14 15 16 > >>
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
