Results 61 to 70 of about 1,721 (102)

Mixed norm estimates of Schrödinger waves and their applications [PDF]

arXiv, 2009
In this paper we establish mixed norm estimates of interactive Schr\"{o}dinger waves and apply them to study smoothing properties and global well-posedness of the nonlinear Schr\"{o}dinger equations with mass critical nonlinearity.
arxiv  

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

A sequence of zero modes of Weyl-Dirac operators and an associated sequence of solvable polynomials [PDF]

arXiv, 2011
It is shown that a series of solvable polynomials is attached to the series of zero modes constructed by Adam, Muratori and Nash \cite ...
arxiv  

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  

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

Nonexistence of traveling waves for a nonlocal Gross-Pitaevskii equation [PDF]

arXiv, 2011
We consider a Gross-Pitaevskii equation with a nonlocal interaction potential. We provide sufficient conditions on the potential such that there exists a range of speeds in which nontrivial traveling waves do not ...
arxiv  

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

The Schroedinger Equation with Potential in Random Motion [PDF]

arXiv, 2011
We study Schroedinger's equation with a potential moving along a Brownian motion path. We prove a RAGE-type theorem and Strichartz estimates for the solution on average.
arxiv  

The pseudorelativistic Hartree equation with a general nonlinearity: existence, non existence and variational identities [PDF]

arXiv, 2012
We prove several existence and non existence results of solitary waves for a class of nonlinear pseudo-relativistic Hartree equations with general nonlinearities. We use variational methods and some new variational identities involving the half Laplacian.
arxiv  

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