Dispersive and Strichartz estimates on H-type groups

Martin Del Hierro. "Dispersive and Strichartz estimates on H-type groups." Studia Mathematica 169.1 (2005): 1-20. <http://eudml.org/doc/285286>.

@article{MartinDelHierro2005,
abstract = {Our purpose is to generalize the dispersive inequalities for the wave equation on the Heisenberg group, obtained in [1], to H-type groups. On those groups we get optimal time decay for solutions to the wave equation (decay as $t^\{-p/2\}$) and the Schrödinger equation (decay as $t^\{(1-p)/2\}$), p being the dimension of the center of the group. As a corollary, we obtain the corresponding Strichartz inequalities for the wave equation, and, assuming that p > 1, for the Schrödinger equation.},
author = {Martin Del Hierro},
journal = {Studia Mathematica},
keywords = {-type groups; wave equation; Schrödinger equation; dispersive inequality},
language = {eng},
number = {1},
pages = {1-20},
title = {Dispersive and Strichartz estimates on H-type groups},
url = {http://eudml.org/doc/285286},
volume = {169},
year = {2005},
}

TY - JOUR
AU - Martin Del Hierro
TI - Dispersive and Strichartz estimates on H-type groups
JO - Studia Mathematica
PY - 2005
VL - 169
IS - 1
SP - 1
EP - 20
AB - Our purpose is to generalize the dispersive inequalities for the wave equation on the Heisenberg group, obtained in [1], to H-type groups. On those groups we get optimal time decay for solutions to the wave equation (decay as $t^{-p/2}$) and the Schrödinger equation (decay as $t^{(1-p)/2}$), p being the dimension of the center of the group. As a corollary, we obtain the corresponding Strichartz inequalities for the wave equation, and, assuming that p > 1, for the Schrödinger equation.
LA - eng
KW - -type groups; wave equation; Schrödinger equation; dispersive inequality
UR - http://eudml.org/doc/285286
ER -