Further pseudodifferential operators generating Feller semigroups and Dirichlet forms.

@article{Jacob1993,
abstract = {We prove for a large class of symmetric pseudo differential operators that they generate a Feller semigroup and therefore a Dirichlet form. Our construction uses the Yoshida-Hille-Ray Theorem and a priori estimates in anisotropic Sobolev spaces. Using these a priori estimates it is possible to obtain further information about the stochastic process associated with the Dirichlet form under consideration.},
author = {Jacob, Niels},
journal = {Revista Matemática Iberoamericana},
keywords = {Espacios de Hilbert; Espacios de Sobolev; Procesos de Dirichlet; Principio de máximo de Pontryagin; negative definite functions; Dirichlet forms; symmetric pseudodifferential operators; Feller semigroups; anisotropic Sobolev space; positive maximum principle; probabilistic consequences},
language = {eng},
number = {2},
pages = {373-407},
title = {Further pseudodifferential operators generating Feller semigroups and Dirichlet forms.},
url = {http://eudml.org/doc/39443},
volume = {9},
year = {1993},
}

TY - JOUR
AU - Jacob, Niels
TI - Further pseudodifferential operators generating Feller semigroups and Dirichlet forms.
JO - Revista Matemática Iberoamericana
PY - 1993
VL - 9
IS - 2
SP - 373
EP - 407
AB - We prove for a large class of symmetric pseudo differential operators that they generate a Feller semigroup and therefore a Dirichlet form. Our construction uses the Yoshida-Hille-Ray Theorem and a priori estimates in anisotropic Sobolev spaces. Using these a priori estimates it is possible to obtain further information about the stochastic process associated with the Dirichlet form under consideration.
LA - eng
KW - Espacios de Hilbert; Espacios de Sobolev; Procesos de Dirichlet; Principio de máximo de Pontryagin; negative definite functions; Dirichlet forms; symmetric pseudodifferential operators; Feller semigroups; anisotropic Sobolev space; positive maximum principle; probabilistic consequences
UR - http://eudml.org/doc/39443
ER -