ISSN:
1572-9281
Keywords:
L pspectrum
;
spectral independence
;
elliptic systems
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract Let {T p:q 1⩽ p⩽ q 2} be a family of consistent C 0 semigroups on L p(Ω), with q 1,q 2 ∈ [1,∞) and Ω ⫅ ℝ open. We show that certain commutator conditions on T p and on the resolvent of its generator A p ensure the p independence of the spectrum of A p for p ∈ [q 1,q 2. Applications include the case of Petrovskij correct systems with Hölder continuous coefficients, Schrödinger operators, and certain elliptic operators in divergence form with real, but not necessarily symmetric, or complex coefficients.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1009777826708
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