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20222025
most citedGlobal Well-posedness for The Fourth-order Nonlinear Schrödinger Equations on

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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.AP2025

Well-posedness for the periodic Hyperbolic nonlinear Schrödinger equations

Engin Başakoğlu, Yuzhao Wang

We establish local well-posedness for the hyperbolic nonlinear Schrodinger equation (HNLS) in the critical spaces. Following the approach of Killip and Visan, we derive scale-invar…

math.AP2025

Sharp unconditional well-posedness of the 2- periodic cubic hyperbolic nonlinear Schrödinger equation

Engin Başakoğlu, Tadahiro Oh, Yuzhao Wang

We study semilinear local well-posedness of the two-dimensional periodic cubic hyperbolic nonlinear Schrödinger equation (HNLS) in Fourier-Lebesgue spaces. By employing the Fourier…