Results 51 to 60 of about 868 (80)

Stability of spectral eigenspaces in nonlinear Schrodinger equations

, 2006
We consider the time-dependent non linear Schrodinger equations with a double well potential in dimensions d =1 and d=2. We prove, in the semiclassical limit, that the finite dimensional eigenspace associated to the lowest two eigenvalues of the linear ...
Bambusi, Dario, Sacchetti, Andrea
core   +2 more sources

Multiplicity of semiclassical solutions for a class of nonlinear Hamiltonian elliptic system

Advances in Nonlinear Analysis
This article is concerned with the following Hamiltonian elliptic system: −ε2Δu+εb→⋅∇u+u+V(x)v=Hv(u,v)inRN,−ε2Δv−εb→⋅∇v+v+V(x)u=Hu(u,v)inRN,\left\{\begin{array}{l}-{\varepsilon }^{2}\Delta u+\varepsilon \overrightarrow{b}\cdot \nabla u+u+V\left(x)v={H}_ ...
Zhang Jian, Zhou Huitao, Mi Heilong
doaj   +1 more source

Convergence of Semi-discrete Stationary Wigner Equation with Inflow Boundary Conditions [PDF]

, 2014
Making use of the Whittaker-Shannon interpolation formula with shifted sampling points, we propose in this paper a well-posed semi-discretization of the stationary Wigner equation with inflow BCs.
Li, Ruo, Lu, Tiao, Sun, Zhangpeng
core  

Spectral Transition for Dirac Operators with Electrostatic δ -Shell Potentials Supported on the Straight Line. [PDF]

Integr Equ Oper Theory, 2022
Behrndt J, Holzmann M, Tušek M.
europepmc   +1 more source

Inverse Scattering at a Fixed Energy for Long-Range Potentials

, 2006
In this paper we consider the inverse scattering problem at a fixed energy for the Schr\"odinger equation with a long-range potential in $\ere^d, d\geq 3$.
Weder, Ricardo, Yafaev, Dimitri
core   +2 more sources

Oblique closed form solutions of some important fractional evolution equations via the modified Kudryashov method arising in physical problems

Journal of Ocean Engineering and Science, 2018
The paper deals with the obliquely propagating wave solutions of fractional nonlinear evolution equations (NLEEs) arising in science and engineering. The conformable time fractional (2 + 1)-dimensional extended Zakharov-Kuzetsov equation (EZKE), coupled ...
F. Ferdous, M.G. Hafez
doaj  

Dirac operator spectrum in tubes and layers with a zigzag-type boundary. [PDF]

Lett Math Phys, 2022
Exner P, Holzmann M.
europepmc   +1 more source

Dispersive estimates and NLS on product manifolds

, 2010
We prove a general dispersive estimate for a Schroedinger type equation on a product manifold, under the assumption that the equation restricted to each factor satisfies suitable dispersive estimates.
Pierfelice, Vittoria
core  

Virial identity and weak dispersion for the magnetic Dirac equation

, 2009
We analyze the dispersive properties of a Dirac system perturbed with a magnetic field. We prove a general virial identity; as applications, we obtain smoothing and endpoint Strichartz estimates which are optimal from the decay point of view.
Boussaid, Nabile, D'Ancona, Piero, Fanelli, Luca   +2 more
core   +1 more source

Self-Adjoint Dirac Operators on Domains in R 3. [PDF]

Ann Henri Poincare, 2020
Behrndt J, Holzmann M, Mas A.
europepmc   +1 more source