RT Journal Article
T1 On some PDEs involving homogeneous operators. Spectral analysis, semigroups and Hardy inequalities
A1 Rodríguez Bernal, Aníbal
A1 Cholewa, Jan W.
AB Motivated by the analysis of homogeneous operators and semigroups in [10], in this paper we perform an spectral analysis of homogeneous operators and give simple characterization of generators of homoge- neous semigroups and of homogeneous sectorial operators. We also analyse homogeneous perturbations of homogeneous operators and semigroups. We use these results to study some parabolic PDEs involving homogeneous operators including some fractional diffusion problems. We show a deep connection of these results with some Gagliardo–Nirenberg and Hardy type inequalities.
PB Elsevier 
SN 0022-0396
YR 2022
FD 2022
LK https://hdl.handle.net/20.500.14352/88793
UL https://hdl.handle.net/20.500.14352/88793
LA eng
NO Cholewa, J. W., & Rodriguez-Bernal, A. (2022). On some PDEs involving homogeneous operators. Spectral analysis, semigroups and Hardy inequalities. Journal Of Differential Equations, 315, 1-56. https://doi.org/10.1016/j.jde.2022.01.029
NO Ministerio de Economía, Comercio y Empresa (España)
DS Docta Complutense
RD 30 dic 2025