@unpublished{HieberSchrohe1997, author = {Hieber, Matthias and Schrohe, Elmar}, title = {Lρ spectral independence of elliptic operators via commutator estimates}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25047}, year = {1997}, abstract = {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 H{\"o}lder continuous coeffcients, Schr{\"o}dinger operators, and certain elliptic operators in divergence form with real, but not necessarily symmetric, or complex coeffcients.}, language = {en} }