Results 21 to 30 of about 860 (84)
Heat-flow monotonicity of Strichartz norms [PDF]
, 2008 Most notably we prove that for $d=1,2$ the classical Strichartz norm $$\|e^{i s\Delta}f\|_{L^{2+4/d}_{s,x}(\mathbb{R}\times\mathbb{R}^d)}$$ associated to the free Schr\"{o}dinger equation is nondecreasing as the initial datum $f$ evolves under a certain ...
Bennett, Jonathan +3 more
core +2 more sources
Cosmography and constraints on the equation of state of the Universe in various parametrizations [PDF]
, 2012 We use cosmography to present constraints on the kinematics of the Universe, without postulating any underlying theoretical model. To this end, we use a Monte Carlo Markov Chain analysis to perform comparisons to the supernova Ia Union 2 compilation ...
Alejandro Aviles +5 more
core +2 more sources
On a logarithmic Hartree equation
Advances in Nonlinear Analysis, 2019 We study the existence of radially symmetric solutions for a nonlinear planar Schrödinger-Poisson system in presence of a superlinear reaction term which doesn’t satisfy the Ambrosetti-Rabinowitz condition. The system is re-written as a nonlinear Hartree
Bernini Federico, Mugnai Dimitri
doaj +1 more source
Non-viscous Regularization of the Davey-Stewartson Equations: Analysis and Modulation Theory [PDF]
, 2016 In the present study we are interested in the Davey-Stewartson equations (DSE) that model packets of surface and capillary-gravity waves. We focus on the elliptic-elliptic case, for which it is known that DSE may develop a finite-time singularity.
Yanqiu Guo, Irma Hacinliyan, E. Titi
semanticscholar +1 more source
Blow-up for self-interacting fractional Ginzburg-Landau equation
, 2017 The blow-up of solutions for the Cauchy problem of fractional Ginzburg-Landau equation with non-positive nonlinearity is shown by an ODE argument. Moreover, in one dimensional case, the optimal lifespan estimate for size of initial data is obtained ...
Fujiwara, Kazumasa +2 more
core +1 more source
Existence of Dirac resonances in the semi-classical limit [PDF]
, 2014 We study the existence of quantum resonances of the three-dimensional semiclassical Dirac operator perturbed by smooth, bounded and real-valued scalar potentials V decaying like ⟨x⟩−δ at infinity for some δ>0.
Kungsman, J, Melgaard, M
core +2 more sources
, 2016 In this paper, the F-expansion method has been used to find several types of exact solutions of the higher-order nonlinear Schrödinger (HONLS) equation with cubic-quintic nonlinearities, self-steeping and self-frequency shift effects which describes the ...
M. M. Hassan +2 more
semanticscholar +1 more source
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 +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 +4 more sources
A new approach to linear and nonlinear Schrodinger equations using the natural decomposition method
, 2014 In this paper, we proposed a new computational algorithms called a new approach to linear and nonlinear Schrödinger equations using the Natural Decomposition Method (NDM).
Shehu Maitama
semanticscholar +1 more source