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20192026
most citedMild solutions to semilinear stochastic partial differential equations with locally monotone coefficients

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math.PR2024

Mild solutions to semilinear rough partial differential equations

Stefan Tappe

We provide an existence and uniqueness result for mild solutions to rough partial differential equations in the framework of the semigroup approach. Applications to stochastic part…

math.PR2024

Invariant submanifolds for solutions to rough differential equations

Stefan Tappe

In this paper we provide necessary and sufficient conditions for invariance of finite dimensional submanifolds for rough differential equations (RDEs) with values in a Banach space…