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math.PR2024
The essential m-dissipativity for degenerate infinite dimensional stochastic Hamiltonian systems and applications
Benedikt Eisenhuth, Martin Grothaus
We consider a degenerate infinite dimensional stochastic Hamiltonian system with multiplicative noise and establish the essential m-dissipativity on of the corresponding…
math.PR2023★ 1 cited
Hypocoercivity for infinite-dimensional non-linear degenerate stochastic differential equations with multiplicative noise
Alexander Bertram, Benedikt Eisenhuth, Martin Grothaus
We analyze infinite-dimensional non-linear degenerate stochastic differential equations with multiplicative noise. First, essential m-dissipativity of their associated Kolmogorov b…
math.PR2021★ 1 cited
Hypocoercivity for non-linear infinite-dimensional degenerate stochastic differential equations
Benedikt Eisenhuth, Martin Grothaus
The aim of this article is to construct solutions to second order in time stochastic partial differential equations and to show hypocoercivity of the corresponding transition semig…