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We introduce locally convex vector spaces. As an example we treat the space of test functions and the space of distributions. In the second part of the course, we discuss differential calculus in Bana
Related publications (5)
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We consider on the torus the scaling limit of stochastic 2D (inviscid) fluid dynamics equations with transport noise to deterministic viscous equations. Quantitative estimates on the convergence rates are provided by combining analytic and probabilistic ar ...
Recently Krylov [N. V. Krylov, On time inhomogeneous stochastic Itô equations with drift in Ld+1, Ukraïn. Mat. Zh. 72 (2020) 1232-1253] established weak existence of solutions to SDEs for integrable drifts in mixed Lebesgue spaces, whose exponents satisfy ...
We show that generic Hölder continuous functions are ρ-irregular. The property of ρ-irregularity has been first introduced by Catellier and Gubinelli (Stochastic Process. Appl. 126 (2016) 2323–2366) and plays a key role in the study of well-posedness for s ...
