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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…
Scattering for Stochastic Nonlinear Schrödinger Equations with additive noise
Engin Başakoğlu, Faruk Temur, Barış Yeşiloğlu +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 solutio…
Global Well-posedness for The Fourth-order Nonlinear Schrödinger Equations on
Engin Başakoğlu, Barış Yeşiloğlu, Oğuz Yılmaz
We study the global well-posedness of the two-dimensional defocusing fourth-order Schrödinger initial value problem with power type nonlinearities where is…
Global Well-posedness for the Biharmonic Quintic Nonlinear Schrödinger Equation on
Engin Başakoğlu, T. Burak Gürel, Oğuz Yılmaz
We prove that the Cauchy problem for the 2D quintic defocusing biharmonic Schrödinger equation is globally well-posed in the Sobolev spaces for $\frac{8}{7}<s<2…