TY  - INPR
A1  - Hieber, Matthias
A1  - Schrohe, Elmar
T1  - Lρ spectral independence of elliptic operators via commutator estimates
N2  - Let {Tsub(p) : q1 ≤ p ≤ q2} be a family of consistent Csub(0) semigroups on Lφ(Ω) with q1, q2 ∈ [1, ∞)and Ω ⊆ IRn open. We show that certain commutator conditions on Tφ and on the resolvent of its generator Aφ ensure the φ independence of the spectrum of Aφ for φ ∈ [q1, q2]. Applications include the case of Petrovskij correct systems with Hölder continuous coeffcients, Schrödinger operators, and certain elliptic operators in divergence form with real, but not necessarily symmetric, or complex coeffcients.
T3  - Preprint - (1997) 17 
KW  - Lφ spectrum
KW  - spectral independence
KW  - elliptic systems
Y1  - 2008
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/2300
UR  - https://nbn-resolving.org/urn:nbn:de:kobv:517-opus-25047
ER  -