Some geometric aspects of hyperbolic boundary value problems
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- by J. Brian Conrey and Michael W. Smiley PDF
- Proc. Amer. Math. Soc. 107 (1989), 591-601 Request permission
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 $\Omega \subset {{\mathbf {R}}^n}$.References
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Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 107 (1989), 591-601
- MSC: Primary 35L20; Secondary 11H55, 35L70, 35P05, 47F05, 47H15
- DOI: https://doi.org/10.1090/S0002-9939-1989-0975635-3
- MathSciNet review: 975635