math.CA · 2026-08-01 · No. 71
Classical Analysis and ODEs, 2026-08-01.
1 new papers in math.CA. Titles, authors,
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01 — The papers
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01
Reflected diffusion, no-flux continuity equations and confined Lagrangian flows in bounded domains
Rama Cont
math.CA · cs.LG · math.AP · math.PR
Motivated by marginal distribution flows of reflected diffusions in bounded domains, we investigate when a density/flux pair solving a no-flux continuity equation admits a regular Lagrangian flow that remains in the closed domain and generates the prescribed density flow. We give sufficient conditions in terms of interior bounded-variation regularity, bounded-variation control on a boundary collar, a one-sided bound on an absolutely...
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