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Some geometric aspects of hyperbolic boundary value problems

Authors: J. Brian Conrey and Michael W. Smiley
Journal: Proc. Amer. Math. Soc. 107 (1989), 591-601
MSC: Primary 35L20; Secondary 11H55, 35L70, 35P05, 47F05, 47H15
MathSciNet review: 975635
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Abstract: Let $ L$ denote the linear operator associated with the wave equation when it is subjected to boundary conditions in both space and time. The properties of invertibility or partial invertibility of $ L$, and compactness of the (partial) inverse when it exists, are characterized in terms of the space time domain $ \Omega \times (0,T)$, for all rectangular domains $ \Omega \subset {{\mathbf{R}}^n}$.

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Additional Information

Keywords: Wave equation, linear operator, spectrum, cluster point, quadratic form, Fredholm operator, compact operator
Article copyright: © Copyright 1989 American Mathematical Society

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