Parameter-dependent edge operators (Q1959096)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Parameter-dependent edge operators |
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Parameter-dependent edge operators (English)
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6 October 2010
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The authors construct new classes of elliptic operators on an infinite cone with compact base which is a manifold with edges. Depending on a singularity order \(k\) there is a principal symbols hierarchy \((\sigma_j)_{0\leq j\leq k}\) for pseudodifferential operators. Assuming a given operator to be \((\sigma_0,\sigma_1)\)-elliptic, results are obtained which show that after adding a suitable smoothing operator also ellipticity with respect to \(\sigma_2\) holds.
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edge pseudo-differential operators
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singular exits to infinity
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spaces on singular manifolds with double weights
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ellipticity of conormal symbols
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