@book{HieberSchrohe1997, author = {Hieber, Matthias and Schrohe, Elmar}, title = {L p Spectral Independence of elliptic operators via commutator estimates}, series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik}, volume = {1997, 17}, journal = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik}, publisher = {Univ.}, address = {Potsdam}, pages = {12 S.}, year = {1997}, language = {en} } @unpublished{HieberSchrohe1997, author = {Hieber, Matthias and Schrohe, Elmar}, title = {Lρ spectral independence of elliptic operators via commutator estimates}, url =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} } @article{SchroheHieber1999, author = {Schrohe, Elmar and Hieber, Matthias}, title = {Lp spectral independence of elliptic operators via commutator estimates}, year = {1999}, language = {en} }