References
- Morawetz CS. Decay for solutions of the exterior problem for the wave equation. Commun. Pure Appl. Math. 1975;28:229–264.
- Vainberg B. Behavior for large time of solutions of the Klein--Gordon equation. Trans. Mosc. Math. Soc. 1974;30:139–158.
- Morawetz CS, Strauss WA. Decay and scattering of solution of a non linear relativistic wave equation. Commun. Pure Appl. Math. 1972;25:1–31.
- Vainberg BR. On the exterior elliptic problems polynomially depending on a spectral parameters, and asymptotic behavior for large time of solutions of non stationary problems. Math. USSR-Sb. 1973;21:221–239.
- Komech A, Kopylova E. Weighted energy for 3D Klein--Gordon equation. J. Differ. Equ. 2010;248:501–520.
- Komech A, Kopylova E. Weighted energy for 1D Klein--Gordon equation. Commun. PDE. 2010;35:353–374.
- Komech A, Kopylova E. Long time decay for 2D Klein--Gordon equation. J. Funct. Anal. 2010;259:477–502.
- Lax PD, Phillips RS. Scattering theory decay. New York (NY): Academic Press; 1967.
- Buyuklieva S, Boukliev I. Extremal self-dual codes with an automorphism of order 2. IEEE Trans. Inform. Theory. 1998;44:323–328.
- Boukliev I, Buyuklieva S. Some new extremal self-dual codes with lengths 44, 50, 54 and 58. IEEE Trans. Inform. Theory IT. 1998;44:809–812.
- Vodev G. On the uniform decay of the local energy. Serdica Math. J. 1999;25:191–206.
- Harada M. Existence of new extermal double-even codes and extermal singly-even codes. Designs Codes Cryptogr. 1996;8:1–12.
- Ralston J. Solutions of the wave equation with localized energy. Commun. Pure Appl. Math. 1969;22:807–823.
- Burq N. Décroissance de l’energie locale de l’equation des ondes pour le problème exterieur [Decay of the local energy of the wave equation for the exterior problem]. Acta. Math. 1998;180:1–29.
- Aloui L, Khenissi M. Stabilisation de l’équation des ondes dans un domaine extérieur [Stabilisation of the wave equation in an exterior domain]. Rev. Iberoamericana. 2002;28:1–13.
- Aloui L, Khenissi M. Stabilisation of Schrödinger equation in exterior domains, control, optimisation and calculus of variations. ESAIM. 2007;13:570–579.
- Aloui L, Khenissi M. Boundary stabilisation of the wave and Schrödinger equations in exterior domains. Discrete Contin. Dyn. Syst. 2010;27:919–934.
- Khenissi M. Equation des ondes amorties dans un domaine extérieur. Bull. Soc. Math. France. 2003;131:211–228.
- Tsutsumi Y. Local energy of solutions to the free Schrödinger equations in the exterior domains. J. Fac. Sci. Univ. Tokyo, Sect. IA, Math. 1984;31:97–108.
- Vainberg B. On the short-wave asymptotic behaviour of solutions of stationary problems and the asymptotic behaviour as t → ∞ of solutions of non-stationary problems. Russian Math. 1975;30:1–58.
- Vainberg B. Asymptotic methods in equations of mathematical physics. New York (NY): Gordon and Breach; 1988.
- Aloui L, Khenissi M, Vodev G. Smoothing effect for the regularized Schrödinger equation with non-controlled orbits. Commun. Partial Differ. Equ. 2012;38:265–275.
- Brezis H. Analyse fonctionnelle: théorie et application. Collection Mathématiques appliquées pour la maîtrise [Functional Analysis, Sobolev Spaces and Partial Differential Equations. Collection Universitex]. New York: Springer; 2011.
- Gérard P, Leichtnam E. Ergododic properties of eigenfunctions for the Dirichlet problem. Duke Math. J. 1972;71:560–587.
- Burq N. Semi-classical estimates for the resolvent in non trapping geometries. Int. Math. Res. Not. 2002;5:221–241.
- Wilcox H. Scattering theory for d’Alembert equation in exterior domains. Vol. 422, Lecture notes in mathematics. Berlin: Springer-Verlag; 1975.
- Melrose R, Sjostrand J. Singularities of boundary value problems I. Commun. Pure Appl. Math. 1978;31:593–617.
- Giillarg D, Trudinger N. Elliptic partial differential equations of second order. Berlin: Springer-Verlag; 1977.
- Reed M, Simon B. Methods of modern mathematical physics. Vol. I, Functional anaysis. New york (NY): Academic Press; 1972.