Proceedings of the American Mathematical Society

			Journals Home Search Author Info Subscribe Tech Support Help
ISSN 1088-6826 (e) ISSN 0002-9939 (p)

Previous issue \| Table of contents \| Next issue Articles in press \| Recently posted articles \| Most recent issue \| All issues Previous Article \| Next Article

Spectral characterization of solutions to systems of linear differential equations

Author(s): J. W. Neuberger
Journal: Proc. Amer. Math. Soc. 128 (2000), 845-852.
MSC (1991): Primary 35A35
Posted: July 28, 1999
Retrieve article in: PDF
This article is available free of charge

Abstract | References | Similar articles | Additional information

Abstract: A spectral characterization of solutions of abstract linear differential equation systems is given. The characterization is in terms of the spectrum of a related continuous self-adjoint linear operator.

References:

1.: R. A. Adams, Sobolev Spaces, Academic Press, vol. 65, 1975. MR 56:9247
2.: A. Beurling, Collected Works, Vol 2, Birkhauser, 1989. MR 92k:01046b
3.: J. W. Neuberger, Sobolev Gradients and Differential Equations, Springer Lecture Notes in Mathematics #1670 (1997). CMP 98:13
4.: F. Riesz and B. Sz-Nagy, Functional Analysis, Ungar, 1955. MR 91g:00002
5.: K. R. Payne, Boundary Geometry and Location of Singularities for Solutions to the Dirichlet Problem for Tricomi Type Equations, Houston J. Math. 23 (1997), 1-23.
6.: J. von Neumann, Functional Operators II, Annls. Math. Stud. 22, 1950. MR 11:599e


	Comments: webmaster@ams.org © Copyright 2009, American Mathematical Society Privacy Statement		Search the AMS