activity
20192026
most citedGlobal existence of dissipative solutions to the Camassa--Holm equation with transport noise

9 citations · 14 across the 7 of their papers we have counts for

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Showing 2021Show all

3 papers · 1 filter

math.FA2021

Neural Networks in Fréchet spaces

Fred Espen Benth, Nils Detering, Luca Galimberti

We define a neural network in infinite dimensional spaces for which we can show the universal approximation property. Indeed, we derive approximation results for continuous functio…

math.PR2021

Stochastic Integrals and Gelfand Integration in Fréchet Spaces

Fred Espen Benth, Luca Galimberti

We provide a detailed analysis of the Gelfand integral on Fréchet spaces, showing among other things a Vitali theorem, dominated convergence and a Fubini result. Furthermore, the G…

math.AP2021

Well-posedness of stochastic continuity equations on Riemannian manifolds

Luca Galimberti, Kenneth H. Karlsen

We analyze continuity equations with Stratonovich stochasticity, , defined on a smoot…