Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Some inequalities for sub-Markovian generators and their applications to the perturbation theory


Authors: V. A. Liskevich and Yu. A. Semenov
Journal: Proc. Amer. Math. Soc. 119 (1993), 1171-1177
MSC: Primary 47D07; Secondary 47A55, 47B25, 47F05
MathSciNet review: 1160303
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We characterize the domain in $ {L^p}$-space of generators of submarkovian semigroups in terms of the form domain in $ {L^2}$ and give the corresponding inequality. Using this inequality we obtain a criterion for the formal difference $ A - B$ of such generators to be a generator of a contraction semigroup in $ {L^p}$. The conditions on perturbation are expressed in terms of forms, i.e., in $ {L^2}$-terms.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 47D07, 47A55, 47B25, 47F05

Retrieve articles in all journals with MSC: 47D07, 47A55, 47B25, 47F05


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1993-1160303-9
PII: S 0002-9939(1993)1160303-9
Keywords: Submarkovian semigroups, form-bounded perturbations
Article copyright: © Copyright 1993 American Mathematical Society