Abstract
We prove the solvability of the scattering problem for a wave equation with absorption and study the structure of the scattering operator.
Similar content being viewed by others
REFERENCES
P. D. Lax and R. S. Phillips, Scattering Theory for Automorphic Functions, Princeton University, Princeton (1976).
L. P. Nizhnik, "Well-posed problem without initial data for a wave equation," Ukr. Mat. Zh., 20, No. 6, 802–813 (1968).
L. P. Nizhnik, Inverse Scattering Problems for Hyperbolic Equations [in Russian], Naukova Dumka, Kiev (1991).
Pham Loy Wu, Direct and Inverse Scattering Problems for a Perturbed Equation of a Strings [in Russian], Preprint No. 81-30, Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1981).
O. V. Tarasova, "The inverse scattering problem for the wave equation," in: Abstracts of the International Conference on Functional Analysis (Kiev, August 22-26, 2001), Kiev (2001), p. 95.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Tarasova, E.V. Scattering Problem for a Wave Equation with Absorption. Ukrainian Mathematical Journal 56, 274–282 (2004). https://doi.org/10.1023/B:UKMA.0000036101.55938.04
Issue Date:
DOI: https://doi.org/10.1023/B:UKMA.0000036101.55938.04