We consider a class of vector-valued elliptic operators with unbounded coefficients, coupled up to the first order, in the Lebesgue space L-p(R-d;R-m) with p is an element of (1, infinity). Sufficient conditions to prove generation results of an analytic C-0-semigroup T(t), together with a characterization of the domain of its generator, are given. Some results related to the hyper-contractivity and the ultraboundedness of the semigroup are also established.
Generation results for vector-valued elliptic operators with unbounded coefficients in L-p spaces / Angiuli, L; Lorenzi, L; Mangino, Em; Rhandi, A. - In: ANNALI DI MATEMATICA PURA ED APPLICATA. - ISSN 0373-3114. - 201:3(2022), pp. 1347-1379. [10.1007/s10231-021-01160-z]
Generation results for vector-valued elliptic operators with unbounded coefficients in L-p spaces
Angiuli, L;Lorenzi, L;Rhandi, A
2022-01-01
Abstract
We consider a class of vector-valued elliptic operators with unbounded coefficients, coupled up to the first order, in the Lebesgue space L-p(R-d;R-m) with p is an element of (1, infinity). Sufficient conditions to prove generation results of an analytic C-0-semigroup T(t), together with a characterization of the domain of its generator, are given. Some results related to the hyper-contractivity and the ultraboundedness of the semigroup are also established.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
