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math.AP2025
Global Well-posedness and Scattering for Stochastic generalized KdV Equations with additive noise
Engin Başakoğlu, Faruk Temur, Oğuz 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…
math.CA2025
The higher regularity of the discrete Hardy-Littlewood maximal function
Faruk Temur, Hikmet Burak Özcan
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…