NORMAL SOLVABILITY OF ELLIPTIC BOUNDARY-VALUE-PROBLEMS ON ASYMPTOTICALLY FLAT MANIFOLDS

Date

1992-10-01

Author

ERKIP, AK
SCHROHE, E

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Normal solvability is shown for a class of boundary value problems on Riemannian manifolds with noncompact boundary using a concept of weighted pseudodifferential operators and weighted Sobolev spaces together with Lopatinski-Shapiro type boundary conditions. An essential step is to show that the standard normal derivative defined in terms of the Riemannian metric is in fact a weighted pseudodifferential operator of the considered class provided the metric is compatible with the symbols.

Subject Keywords

Analysis

URI

https://hdl.handle.net/11511/64981

Journal

JOURNAL OF FUNCTIONAL ANALYSIS

DOI

https://doi.org/10.1016/0022-1236(92)90010-g

Collections

Department of Mathematics, Article

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Citation Formats

A. ERKIP and E. SCHROHE, “NORMAL SOLVABILITY OF ELLIPTIC BOUNDARY-VALUE-PROBLEMS ON ASYMPTOTICALLY FLAT MANIFOLDS,” JOURNAL OF FUNCTIONAL ANALYSIS, pp. 22–51, 1992, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/64981.