The stability of positive semigroups on 𝐿_{𝑝} spaces

Weis, Lutz

doi:10.1090/S0002-9939-1995-1273529-2

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ISSN 1088-6826(online) ISSN 0002-9939(print)

The stability of positive semigroups on $L\sb p$ spaces

Author: Lutz Weis
Journal: Proc. Amer. Math. Soc. 123 (1995), 3089-3094
MSC: Primary 47D06; Secondary 34G10, 35P05, 47D07, 47N20
MathSciNet review: 1273529
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Abstract | References | Similar Articles | Additional Information

Abstract: For a positive semigroup ${T_t}$ on ${L_p}(\Omega ,m)$ with generator A, the growth bound of $({T_t})$ equals the spectral bound of A. In particular, if , the mild solutions of the Cauchy problem are asymptotically stable.

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