Operators on manifolds with conical singularities
Operators on a manifold with boundary and conical singularities are locally near the singularities of Fuchs type (in stretched coordinates), and they are assumed to have the transmission property at the smooth part of the boundary. For crack problems below we will apply the calculus to an infinite two-dimensional cone with boundary. The cone algebra in this case plays the role of a range of operator-valued symbols for a corresponding crack operator algebra.
KeywordsConical Singularity Weighted Sobolev Space Frechet Space Cone Algebra Asymptotic Type
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