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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
MathSciNet review:
1626458
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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
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Additional Information:
J.
W.
Neuberger
Affiliation:
Department of Mathematics, University of North Texas, Denton, Texas 76203
Email:
jwn@unt.edu
DOI:
10.1090/S0002-9939-99-05065-0
PII:
S 0002-9939(99)05065-0
Received by editor(s):
March 5, 1998
Received by editor(s) in revised form:
May 5, 1998
Posted:
July 28, 1999
Communicated by:
Christopher D. Sogge
Copyright of article:
Copyright
1999,
American Mathematical Society
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