Results 21 to 30 of about 115,363 (107)
Image reconstruction in optical interferometry: Benchmarking the regularization [PDF]
, 2011 With the advent of infrared long-baseline interferometers with more than two telescopes, both the size and the completeness of interferometric data sets have significantly increased, allowing images based on models with no a priori assumptions to be ...
Besnerais +27 more
core +1 more source
, 2013 We obtain an improved Sobolev inequality in H^s spaces involving Morrey norms. This refinement yields a direct proof of the existence of optimizers and the compactness up to symmetry of optimizing sequences for the usual Sobolev embedding. More generally,
Palatucci, Giampiero, Pisante, Adriano
core +1 more source
Equations involving fractional Laplacian operator: Compactness and application
, 2015 In this paper, we consider the following problem involving fractional Laplacian operator: \begin{equation}\label{eq:0.1} (-\Delta)^{\alpha} u= |u|^{2^*_\alpha-2-\varepsilon}u + \lambda u\,\, {\rm in}\,\, \Omega,\quad u=0 \,\, {\rm on}\, \, \partial\Omega,
Yan, Shusen, Yang, Jianfu, Yu, Xiaohui
core +1 more source
Uncertainty principles for the windowed Hankel transform [PDF]
, 2019 The aim of this paper is to prove some new uncertainty principles for the windowed Hankel transform. They include uncertainty principle for orthonormal sequence, local uncertainty principle, logarithmic uncertainty principle and Heisenberg-type uncertainty principle.
arxiv +1 more source
, 2017 We prove the existence of ground state solutions by variational methods to the nonlinear Choquard equations with a nonlinear perturbation \[ -{\Delta}u+ u=\big(I_\alpha*|u|^{\frac{\alpha}{N}+1}\big)|u|^{\frac{\alpha}{N}-1}u+f(x,u)\qquad \text{ in ...
Van Schaftingen, Jean, Xia, Jiankang
core +1 more source
Looping dynamics of flexible chain with internal friction at different degree of compactness
, 2015 Recently single molecule experiments have shown the importance of internal friction in biopolymer dynamics. Such studies also suggested that the internal friction although independent of solvent viscosity has strong dependence on denaturant concentration.
Chakrabarti, Rajarshi, Samanta, Nairhita
core +2 more sources
Nonlinear stabilitty for steady vortex pairs
, 2012 In this article, we prove nonlinear orbital stability for steadily translating vortex pairs, a family of nonlinear waves that are exact solutions of the incompressible, two-dimensional Euler equations.
A.L. Mazzucato +25 more
core +1 more source
On the Complementarity Principle and the Uncertainty Principle [PDF]
Optics Communications vol. 234, page 295 (2004), 2004 We present a scheme in which we investigate the two-slit experiment and we show that the principle of complementarity is more fundamental then the uncertainty principle.
arxiv +1 more source
A simple derivation of BV bounds for inhomogeneous relaxation systems [PDF]
, 2014 We consider relaxation systems of transport equations with heterogeneous source terms and with boundary conditions, which limits are scalar conservation laws. Classical bounds fail in this context and in particular BV estimates.
Perthame, Benoit +2 more
core +2 more sources
The Diagonal Strong Reflection Principle and its fragments [PDF]
arXiv, 2021 A diagonal version of the strong reflection principle is introduced, along with fragments of this principle associated to arbitrary forcing classes. The relationships between the resulting principles and related principles, such as the corresponding forcing axioms and the corresponding fragments of the strong reflection principle are analyzed, and ...
arxiv