2 citations · 6 across the 10 of their papers we have counts for
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On the multi-bubble blow-up solutions to rough nonlinear Schrödinger equations
Yiming Su, Deng Zhang
We are concerned with the multi-bubble blow-up solutions to rough nonlinear Schrödinger equations in the focusing mass-critical case. In both dimensions one and two, we construct t…
Minimal mass blow-up solutions to rough nonlinear Schroedinger equations
Yiming Su, Deng Zhang
We study the focusing mass-critical rough nonlinear Schroedinger equations, where the stochastic integration is taken in the sense of controlled rough path. We obtain the global we…
Optimal control of nonlinear stochastic differential equations on Hilbert spaces
Viorel Barbu, Michael Röckner, Deng Zhang
We here consider optimal control problems governed by nonlinear stochastic equations on a Hilbert space H with nonconvex payoff, which is rewritten as a deterministic optimal contr…
Stochastic nonlinear Schroedinger equations in the defocusing mass and energy critical cases
Deng Zhang
We study the stochastic nonlinear Schroedinger equations with linear multiplicative noise, particularly in the defocusing mass-critical and energy-critical cases. For general initi…
Scattering for stochastic nonlinear Schrödinger equations
Sebastian Herr, Michael Röckner, Deng Zhang
We study the scattering behavior of global solutions to stochastic nonlinear Schrödinger equations with linear multiplicative noise. In the case where the quadratic variation of th…
Strichartz and local smoothing estimates for stochastic dispersive equations with linear multiplicative noise
Deng Zhang
We study a quite general class of stochastic dispersive equations with linear multiplicative noise, including especially the Schrödinger and Airy equations. The pathwise Strichartz…