The non-autonomous Kato class

Authors
Schnaubelt, R Voigt, J
Citation
R. Schnaubelt et J. Voigt, The non-autonomous Kato class, ARCH MATH, 72(6), 1999, pp. 454-460
Citations number
16
Categorie Soggetti
Mathematics
Journal title
ARCHIV DER MATHEMATIK
ISSN journal
0003889X → ACNP
Volume
72
Issue
6
Year of publication
1999
Pages
454 - 460
Database
ISI
SICI code
0003-889X(19990601)72:6<454:TNKC>2.0.ZU;2-6
Abstract
We discuss singular time dependent absorption-excitation rates for second o rder parabolic equations. A suitable class, the non-autonomous Kato class, is defined for the heat equation in connection with the non-autonomous Miya dera perturbation theorem. We give sufficient conditions in terms of integr ability for a potential to belong to the non-autonomous Kato class.