Electronic Resource
Springer
Archiv der Mathematik
72 (1999), S. 454-460
ISSN:
1420-8938
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract. We discuss singular time dependent absorption-excitation rates for second order parabolic equations. A suitable class, the non-autonomous Kato class, is defined for the heat equation in connection with the non-autonomous Miyadera perturbation theorem. We give sufficient conditions in terms of integrability for a potential to belong to the non-autonomous Kato class.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s000130050355
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