A class of vector-valued elliptic operators with unbounded coefficients, coupled up to the second-order is investigated in the Lebesgue space Lp (Rd ; Rm ) with p ∈ (1, ∞), providing sufficient conditions for the generation of an analytic C0-semigroup T (t). Under further assumptions, a characterization of the domain of the infinitesimal generator is given.
Generation of semigroups associated to strongly coupled elliptic operators in Lp(Rd;Rm)
Angiuli L.
;Lorenzi L.;Mangino E. M.
2024-01-01
Abstract
A class of vector-valued elliptic operators with unbounded coefficients, coupled up to the second-order is investigated in the Lebesgue space Lp (Rd ; Rm ) with p ∈ (1, ∞), providing sufficient conditions for the generation of an analytic C0-semigroup T (t). Under further assumptions, a characterization of the domain of the infinitesimal generator is given.File in questo prodotto:
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