Oberseminar zur Numerik im SoSe 2016
Im Rahmen des Oberseminars der AG Numerik wird
Frau Dr.
Therese Mieth
, Forschungsgruppe Funktionenr¨aume, Institut f¨ur Mathematik, Friedrich-Schiller-Universit¨at Jena,am Mittwoch, den 29. Juni 2016, zum Thema
Entropy and approximation numbers of weighted Sobolev spaces via bracketing
vortragen.
Abstract.The method of Dirichlet-Neumann bracketing is very useful for analysing the eigenvalue distribution of the Laplacian under various boundary conditions. Via quadratic forms Triebel used in [3] this approach in case of Hilbert spaces to obtain sharp results for approximation numbers of weighted Sobolev embeddings in limiting situations. We present a bracketing technique in Lp which is inspired by Evans and Harris in [1] and extend sharp asymptotic results from [3] to the general case of Banach spaces.
References
[1] W.D. Evans, D.J. Harris. Fractals, trees and the Neumann Laplacian. Math. Ann., 296(1):493–512, 1993.
[2] T. Mieth. Entropy and approximation numbers of weighted Sobolev spaces via bracketing.
J. Funct. Anal., 270(11):4322–4339, 2016
[3] H. Triebel. Entropy and approximation numbers of limiting embeddings, an approach via Hardy inequalities and quadratic forms. J. Approx. Theory, 164(1):31–46, 2012.
Der Vortrag findet um 16:15 Uhr im Seminarraum 06D10 am Fachbereich Mathematik und Informatik, Hans-Meerwein Str., Lahnberge, statt.
Es l¨ad ein die AG Numerik
