RT Journal Article
T1 Sharp estimates for homogeneous semigroups in homogeneous spaces. Applications to PDEs and fractional diffusion in RN
A1 Cholewa, Jan W.
A1 Rodríguez Bernal, Aníbal
AB In this paper, we analyze evolution problems associated to homogenous operators. We show that they have an homogenous associated semigroup of solutions that must satisfy some sharp estimates when acting on homogenous spaces and on the associated fractional power spaces. These sharp estimates are determined by the homogeneity alone. We also consider fractional diffusion problems and Schr ̈odinger type problems as well. We apply these general results to broad classes of PDE problems including heat or higher order parabolic problems and the associated fractional and Schr ̈odinger problems or Stokes equations. These equations are considered in Lebesgue or Morrey spaces.
PB World Scientific
SN 0219-1997
YR 2022
FD 2022
LK https://hdl.handle.net/20.500.14352/88740
UL https://hdl.handle.net/20.500.14352/88740
LA eng
NO Cholewa, J. W., & Rodriguez-Bernal, A. (2020). Sharp estimates for homogeneous semigroups in homogeneous spaces. Applications to PDEs and fractional diffusion in ℝN. Communications In Contemporary Mathematics, 24(01). https://doi.org/10.1142/s0219199720500704
DS Docta Complutense
RD 7 abr 2025