Title

Degenerate second order differential operators generating analytic semigroups in Lp and W1,p

Abstract

We deal with the problem of analyticity for the semigroup generated by the second order differential operator Au:= αu″ + βu′ (or by some restrictions of it) in the spaces Lp(0, 1), with or without weight, and in W1,p(0, 1), 1 < p < ∞. Here α and β are assumed real-valued and continuous in [0, 1], with α(x) > 0 in (0, 1), and the domain of A is determined by the generalized Neumann boundary conditions and by Wentzell boundary conditions.

Publication Title

Mathematische Nachrichten

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