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math.NA2017
Randomized exponential integrators for modulated nonlinear Schrödinger equations
Martina Hofmanová, Marvin Knöller, Katharina Schratz
We consider the nonlinear Schrödinger equation with dispersion modulated by a (formal) derivative of a time-dependent function with fractional Sobolev regularity of class …
math.AP2017
An energy method for rough partial differential equations
Antoine Hocquet, Martina Hofmanová
We present a well-posedness and stability result for a class of nondegenerate linear parabolic equations driven by rough paths. More precisely, we introduce a notion of weak soluti…