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Local-in-Time Solvability and Space Analyticity for the Navier–Stokes Equations with BMO-Type Initial Data
It is proved that there exists a local-in-time solution \(u\in C([0,T),bmo({\mathbb {R}}^d)^d)\)u∈C([0,T),bmo(Rd)d) of the Navier–Stokes equations such that every u(t) has an analytic extension on a complex domai...
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Article
A note on error estimation for hypothesis testing problems for some linear SPDEs
The aim of the present paper is to estimate and control the Type I and Type II errors of a simple hypothesis testing problem of the drift/viscosity coefficient for stochastic fractional heat equation driven by...
