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On ϵ-Collocation for Pseudodifferential Equations on a Closed Curve

✍ Scribed by Gunther Schmidt

Publisher
John Wiley and Sons
Year
1986
Tongue
English
Weight
720 KB
Volume
126
Category
Article
ISSN
0025-584X

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✦ Synopsis

This paper is devoted to the approximate solution of one-dimensional pseudodifferential equations on a closed curve via spline collocation methods with variable collocation points and represents a continuation of [ll]. We give necessary and sufficient conditions ensuring the La-convergence for operators with smooth and piecewise continuous ooefficients.

📜 SIMILAR VOLUMES

On the index of degenerate pseudodiffere
On the index of degenerate pseudodifferential operators on a closed curve
✍ Johannes Elschner 📂 Article 📅 1982 🏛 John Wiley and Sons 🌐 English ⚖ 670 KB

## Abstract We consider a class of degenerate classical pseudodifferential operators on a closed curve and compute their index in Sobolev spaces. The index is expressed as a winding number by means of the principal and the subprincipal symbol. Furthermore, applications to the smoothness of solution