Wednesday, April 17, 2024 - 16:00 in ZOOM - Video Conference
Pathwise well-posedness of stochastic nonlinear Schrödinger equations with multiplicative noises
A talk in the Oberseminar Analysis series by
Tadahiro Oh from Edinburgh
| Abstract: |
Over the last several decades, the well-posedness issue of
stochastic dispersive PDEs with multiplicative noises has been studied
extensively. However, this study was done primarily from the viewpoint
of Ito solution theory, and pathwise well-posedness remained completely
open. In this talk, I will present the first pathwise well-posedness
results for stochastic nonlinear Schrödinger equations (SNLS).
In particular, I will consider SNLS with multiplicative
fraction/white-in-time, smooth-in-space noise and prove its pathwise
local well-posedness of SNLS by combining the operator-valued controlled
rough
path adapted to the Schrödinger flow together with random tensor
estimates, an infinite iteration of the Duhamel formulation, and a
nonlinear smoothing established via the Fourier restriction norm method.
Zoom Meeting ID: [684 0498 9843]
Passcode: [241051]
$\href{https://uni-bielefeld.zoom-x.de/j/68404989843?pwd=cWNqT3FFZWFxMW1RQ3FvUkZ0MG9Jdz09}{\textbf{Join Zoom Meeting}}$
Within the CRC this talk is associated to the project(s): A1 |
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