Remote Access Transactions of the American Mathematical Society
Green Open Access

Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



Matrix polynomials and the
index problem for elliptic systems

Author: B. Rowley
Journal: Trans. Amer. Math. Soc. 349 (1997), 3105-3148
MSC (1991): Primary 35J45, 35J55, 15A22
MathSciNet review: 1401786
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: The main new results of this paper concern the formulation of algebraic conditions for the Fredholm property of elliptic systems of P.D.E.'s with boundary values, which are equivalent to the Lopatinskii condition. The Lopatinskii condition is reformulated in a new algebraic form (based on matrix polynomials) which is then used to study the existence of homotopies of elliptic boundary value problems. The paper also contains an exposition of the relevant parts of the theory of matrix polynomials and the theory of elliptic systems of P.D.E.'s.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC (1991): 35J45, 35J55, 15A22

Retrieve articles in all journals with MSC (1991): 35J45, 35J55, 15A22

Additional Information

B. Rowley
Affiliation: Department of Mathematics, Champlain College, Lennoxville, Quebec, Canada

Keywords: Elliptic boundary value problems, matrix polynomials, Lopatinskii condition, Fredholm property
Received by editor(s): August 16, 1994
Received by editor(s) in revised form: February 12, 1996
Additional Notes: The author wishes to acknowledge that the abstract, the introduction and parts of §§2 and 3 were revised due to the helpful remarks and suggestions of the referee.
Article copyright: © Copyright 1997 American Mathematical Society