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

Date

1992-10-01

Author

ERKIP, AK
SCHROHE, E

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

221
views

0
downloads

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

Suggestions

OpenMETU
Core

Local operator spaces, unbounded operators and multinormed C*-algebras Dosiev, Anar (Elsevier BV, 2008-10-01) In this paper we propose a representation theorem for local operator spaces which extends Ruan's representation theorem for operator spaces. Based upon this result, we introduce local operator systems which are locally convex versions of the operator systems and prove Stinespring theorem for local operator systems. A local operator C*-algebra is an example of a local operator system. Finally, we investigate the injectivity in both local operator space and local operator system senses, and prove locally conv...
Basis in nuclear Frechet spaces Erkurşun, Nazife; Nurlu, Mehmet Zafer; Department of Mathematics (2006) Existence of basis in locally convex space has been an important problem in functional analysis for more than 40 years. In this thesis the conditions for the existence of basis are examined. These thesis consist of three parts. The first part is about the exterior interpolative conditions. The second part deals with the inner interpolative conditions on nuclear frechet space. These are sufficient conditions on existence of basis. In the last part, it is shown that for a regular nuclear Köthe space the inner...
ANALYSIS OF THE TRUNCATED SPIKE ALGORITHM MİKKELSEN, CCK; Manguoğlu, Murat (Society for Industrial & Applied Mathematics (SIAM), 2008-01-01) The truncated SPIKE algorithm is a parallel solver for linear systems which are banded and strictly diagonally dominant by rows. There are machines for which the current implementation of the algorithm is faster and scales better than the corresponding solver in ScaLAPACK (PDDBTRF/PDDBTRS). In this paper we prove that the SPIKE matrix is strictly diagonally dominant by rows with a degree no less than the original matrix. We establish tight upper bounds on the decay rate of the spikes as well as the truncati...
Reflexivity and approximate reflexivity for bounded Boolean algebras of projections Hadwin, Don; Orhon, Mehmet (Elsevier BV, 1989-12) Let K be a compact Hausdorff space. It is proven that any bounded unital representation m of C(K) on a Banach space X has the property that the closure of m(C(K)) in the weak operator topology is a reflexive operator algebra. As a consequence, it is shown that if is an arbitrary bounded Boolean algebra of bounded projections on a Banach space X, then AlgLat() is the weak operator topology closure of the linear span of . These generalize the work of several authors. As a corollary, an alternate proof of a t...
Inverse Sturm-Liouville Systems over the whole Real Line Altundağ, Hüseyin; Taşeli, Hasan; Department of Mathematics (2010) In this thesis we present a numerical algorithm to solve the singular Inverse Sturm-Liouville problems with symmetric potential functions. The singularity, which comes from the unbounded domain of the problem, is treated by considering the limiting case of the associated problem on the symmetric finite interval. In contrast to regular problems which are considered on a finite interval the singular inverse problem has an ill-conditioned structure despite of the limiting treatment. We use the regularization t...

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.