Sentence examples for singular drift from inspiring English sources

Our techniques allow very singular drift terms.

We consider stochastic equations in Hilbert spaces with singular drift in the framework of [G.

Two uniqueness results for C0 semigroups on weighted Lp spaces over Rn generated by operators of type Δ+β·∇ with singular drift β are proven.

The diffusions can be characterized in terms of a martingale problem and they can be considered as a Brownian motion onΓperturbed by a singular drift.

We study the limit of the solution of linear and semilinear second order PDEs of parabolic type, with rapidly oscillating periodic coefficients, singular drift, and singular coefficient of the zeroth order term.

We also prove uniqueness of solutions to the Fokker Planck equation for singular drifts F. Applications to reaction diffusion equations with time-dependent reaction term are presented.

We use these results to prove the strong existence of the solutions of stochastic differential equations with singular (functional) drifts and also to prove the non-existence of strong solutions of some stochastic differential equations.

We consider a Kolmogorov operator L0 in a Hilbert space H, related to a stochastic PDE with a time-dependent singular quasi-dissipative drift F="F t,⋅):H→H, defined on a suitable space of regular functions.

If Ω has C2-boundary the construction works for all starting points, where the drift term is not singular, even on the boundary.

We study a class of nonlinear martingale problems in one dimension, that involve a singular integral of the density in the drift term, and are related to systems of particles with singular interactions.

Since this collision operator in guiding center coordinates is singular an implicit method has been developed, which handles the singularity occurring in the perpendicular drift coefficient.