most citedMcKean-Vlasov equations on infinite-dimensional Hilbert spaces with irregular drift and additive fractional noise

7 citations · 17 across the 5 of their papers we have counts for

collaborators

5 papers

math.PR20197 cited

McKean-Vlasov equations on infinite-dimensional Hilbert spaces with irregular drift and additive fractional noise

Martin Bauer, Thilo Meyer-Brandis

This paper establishes results on the existence and uniqueness of solutions to McKean-Vlasov equations, also called mean-field stochastic differential equations, in an infinite-dim…

math.PR20193 cited

Strong Solutions of Mean-Field SDEs with irregular expectation functional in the drift

Martin Bauer, Thilo Meyer-Brandis

We analyze multi-dimensional mean-field stochastic differential equations where the drift depends on the law in form of a Lebesgue integral with respect to the pushforward measure…

math.PR20197 cited

Existence and Regularity of Solutions to Multi-Dimensional Mean-Field Stochastic Differential Equations with Irregular Drift

Martin Bauer, Thilo Meyer-Brandis

We examine existence and uniqueness of strong solutions of multi-dimensional mean-field stochastic differential equations with irregular drift coefficients. Furthermore, we establi…

math.DG2019

Shape Analysis of Surfaces Using General Elastic Metrics

Zhe Su, Martin Bauer, Stephen C. Preston +2

In this article we introduce a family of elastic metrics on the space of parametrized surfaces in 3D space using a corresponding family of metrics on the space of vector valued one…

math.PR2019

Restoration of Well-Posedness of Infinite-dimensional Singular ODE's via Noise

David Baños, Martin Bauer, Thilo Meyer-Brandis +1

In this paper we aim at generalizing the results of A. K. Zvonkin and A. Y. Veretennikov on the construction of unique strong solutions of stochastic differential equations with si…