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 is an element of (1, infinity), 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. (c) 2023 Elsevier Inc. All rights reserved.
Generation of semigroups associated to strongly coupled elliptic operators in Lp(Rd;Rm) / Angiuli, L.; Lorenzi, L.; Mangino, E. M.. - In: JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 0022-0396. - 383:(2024), pp. 324-360. [10.1016/j.jde.2023.12.003]
Generation of semigroups associated to strongly coupled elliptic operators in Lp(Rd;Rm)
Angiuli L.;Lorenzi L.;
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 is an element of (1, infinity), 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. (c) 2023 Elsevier Inc. All rights reserved.| File | Dimensione | Formato | |
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