Results 11 to 20 of about 794 (57)
Nonautonomous Klein–Gordon–Maxwell systems in a bounded domain
Advances in Nonlinear Analysis, 2014 This paper deals with the Klein–Gordon–Maxwell system in a bounded spatial domain with a nonuniform coupling. We discuss the existence of standing waves in equilibrium with a purely electrostatic field, assuming homogeneous Dirichlet boundary conditions ...
d'Avenia Pietro +2 more
doaj +1 more source
On the method of pseudopotential for Schrödinger equation with nonlocal boundary conditions
Abstract and Applied Analysis, Volume 6, Issue 6, Page 329-338, 2001., 2001 For stationary Schrödinger equation in ℝ n with the finite potential the singular pseudopotential is constructed in the form allowing us to find wave functions. The method does not require the knowledge of the explicit form of a potential and assumes only knowledge of the scattering amplitude for fixed level of energy.
Yuriy Valentinovich Zasorin
wiley +1 more source
Multiplicity and concentration results for magnetic relativistic Schrödinger equations
Advances in Nonlinear Analysis, 2019 In this paper, we consider the following magnetic pseudo-relativistic Schrödinger ...
Xia Aliang
doaj +1 more source
Advanced Nonlinear Studies, 2021 We investigate the ground states of 3-component Bose–Einstein condensates with harmonic-like trapping potentials in ℝ2{\mathbb{R}^{2}}, where the intra-component interactions μi{\mu_{i}} and the inter-component interactions βij=βji{\beta_{ij}=\beta_{ji}
Kong Yuzhen, Wang Qingxuan, Zhao Dun
doaj +1 more source
Advances in Nonlinear Analysis, 2020 In this paper, we study the singularly perturbed fractional Choquard ...
Yang Zhipeng, Zhao Fukun
doaj +1 more source
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
The fractional Hartree equation without the Ambrosetti-Rabinowitz condition [PDF]
, 2016 We consider a class of pseudo-relativistic Hartree equations in presence of general nonlinearities not satisfying the Ambrosetti-Rabinowitz condition.
Francesconi, Mauro, Mugnai, Dimitri
core +1 more source
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
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