Thomas Krainer, Gerardo A. Mendoza
Published 2014-03-26Version 1
This note is a description of some of the results obtained by the authors in connection with the problem in the title. These, discussed following a summary of background material concerning wedge differential operators, consist of the notion of trace bundle, an extension of the Douglis-Nirenberg calculus to handle spaces of anisotropic varying regularity and associated pseudodifferential operators, and boundary value problems proper, the latter in the first order case. The concepts concerning the main results are illustrated with simple examples.
Boundary Value Problems for the $2^{nd}$-order Seiberg-Witten Equations
The kernel bundle of a holomorphic Fredholm family
Bounded $H_{\infty}$-calculus for Boundary Value Problems on Manifolds with Conical Singularities
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