5 papers
A Short Note on -Contractive and Picard Operators
Faruk Temur
Altun and Hancer \cite{AltunHancer2019} proved that every continuous \(P\)-contractive self-map of compact metric space is an almost Picard operator, and asked whether it must in f…
Global Well-posedness and Scattering for Stochastic generalized KdV Equations with additive noise
Engin BaÅakoÄlu, Faruk Temur, OÄuz Yılmaz
We study the defocusing stochastic generalized Korteweg-de Vries equations (sgKdV) driven by additive noise, with a focus on mass-critical and supercritical nonlinearities. For int…
The higher regularity of the discrete Hardy-Littlewood maximal function
Faruk Temur, Hikmet Burak Ãzcan
In a recent short note the first author gave the first positive result on the higher order regularity of the discrete noncentered Hardy-Littlewood maximal function. In this article…
The second derivative of the discrete Hardy-Littlewood maximal function
Faruk Temur
The regularity of the Hardy-Littlewood maximal function, in both discrete and continuous contexts, and for both centered and noncentered variants, has been subjected to intense stu…
Scattering for Stochastic Nonlinear Schrödinger Equations with additive noise
Engin BaÅakoÄlu, Faruk Temur, BarıŠYeÅiloÄlu +1
We study the scattering for the energy-subcritical stochastic nonlinear Schrödinger equation (SNLS) with additive noise. In particular, we examine the long-time behavior of soluti…