Carleman-Sobolev classes and Green’s potentials for weighted Laplacians

This thesis is based on two papers: the first one concerns Carleman-Sobolev classes for small exponents and the other solves Poisson's equation for the standard weighted Laplacian in the unit disc. In the first paper we start by noting that for small Lp-exponents, i.e. 0<p<1, the...

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Bibliographic Details
Main Author: Gustav, Behm
Format: Others
Language:English
Published: KTH, Matematik (Avd.) 2014
Online Access:http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-145012
http://nbn-resolving.de/urn:isbn:978-91-7595-134-8