Self-adjointness of the perturbed wave operator on $L^2(\textbf {R^n}), n\geq 2$
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- by Mohammed Hichem Mortad PDF
- Proc. Amer. Math. Soc. 133 (2005), 455-464 Request permission
Abstract:
We give classes of unbounded real-valued $V$ for which $\square +V$ is self-adjoint on $\mathcal {D}(\square )\subset L^2(\mathbf {R}^n)$, $n\geq 2$, where $\square$ is the wave operator defined on $\mathbf {R}^n$.References
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Additional Information
- Mohammed Hichem Mortad
- Affiliation: School of Mathematics, University of Edinburgh, JCMB, Mayfield Road, Edinburgh, EH9 3JZ, United Kingdom
- Email: mortad@maths.ed.ac.uk, hichem1978@yahoo.fr
- Received by editor(s): July 8, 2003
- Received by editor(s) in revised form: October 1, 2003
- Published electronically: August 30, 2004
- Communicated by: Joseph A. Ball
- © Copyright 2004 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 133 (2005), 455-464
- MSC (2000): Primary 47B25, 47A55, 46B70; Secondary 35L05, 32A37, 46E35
- DOI: https://doi.org/10.1090/S0002-9939-04-07552-5
- MathSciNet review: 2093068