The Robin heat equation with Markovian switching boundary reactivity is solved via contraction semigroups in the annealed case and non-autonomous evolution families in the quenched case, converging to a deterministic Robin problem in the fast-switching limit.
Fractional Boundary Value Problems and elastic sticky Brownian motions, II: The bounded domain
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Time-dependent Robin heat equation via Markovian switching
The Robin heat equation with Markovian switching boundary reactivity is solved via contraction semigroups in the annealed case and non-autonomous evolution families in the quenched case, converging to a deterministic Robin problem in the fast-switching limit.