Ontology type: schema:ScholarlyArticle
2018-04
AUTHORSLuigi Ambrosio, Shouhei Honda, Jacobus W. Portegies
ABSTRACTIn this note we prove in the nonlinear setting of CD(K,∞) spaces the stability of the Krasnoselskii spectrum of the Laplace operator -Δ under measured Gromov–Hausdorff convergence, under an additional compactness assumption satisfied, for instance, by sequences of CD∗(K,N) metric measure spaces with uniformly bounded diameter. Additionally, we show that every element λ in the Krasnoselskii spectrum is indeed an eigenvalue, namely there exists a nontrivial u satisfying the eigenvalue equation -Δu=λu. More... »
PAGES34
http://scigraph.springernature.com/pub.10.1007/s00526-018-1315-0
DOIhttp://dx.doi.org/10.1007/s00526-018-1315-0
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