Elliptic boundary problems on manifolds with polycylindrical ends
Analysis of PDEs
2007-05-23 v1 Functional Analysis
Abstract
We investigate general Shapiro-Lopatinsky elliptic boundary value problems on manifolds with polycylindrical ends. This is accomplished by compactifying such a manifold to a manifold with corners of in general higher codimension, and we then deal with boundary value problems for cusp differential operators. We introduce an adapted Boutet de Monvel's calculus of pseudodifferential boundary value problems, and construct parametrices for elliptic cusp operators within this calculus. Fredholm solvability and elliptic regularity up to the boundary and up to infinity for boundary value problems on manifolds with polycylindrical ends follows.
Cite
@article{arxiv.math/0508516,
title = {Elliptic boundary problems on manifolds with polycylindrical ends},
author = {Thomas Krainer},
journal= {arXiv preprint arXiv:math/0508516},
year = {2007}
}
Comments
33 pages