訂正日: 2006/10/20訂正理由: -訂正箇所: 引用文献情報訂正内容: Wrong : 1) V. Guillemin, Sojourn time and asymptotic properties of the scattering matrix, Publ. RIMS, 12, Supl. (1977), 69-88. 2) L. Hörmander, Fourier integral operators I, Acta Math., 127 (1971), 79-183. 3) M. Ikawa, Decay of solutions of the wave equation in the exterior of two convex obstacles, Osaka J. Math., 19 (1982), 459-509. 4) H. Kumano-go, Pseudo-differential operators, MIT Press, 1982. 5) P. D. Lax and R. S. Phillips, Scattering Theory, Academic Press, 1967. 6) P. D. Lax and R. S. Phillips, Scattering theory for the acoustic equation in an even number of space dimensions, Indiana Univ. Math. J., 22 (1972), 101-134. 7) A. Majda, A representation formula for the scattering operator and the inverse problem for arbitrary bodies, Comm. Pure Appl. Math., 30 (1977), 165-194. 8) M. Matsumura, Asymptotic behavior at infinity for Green's functions of first order systems with characteristics of nonuniform multiplicity, Publ. RIMS, 12 (1976) 313-377. 9) V. M. Petkov, High frequency asymptotic of the scattering amplitude for non-convex bodies, Comm. Partial Differential Equations, 5 (1980), 293-329. 10) H. Soga, Oscillatory integrals with degenerate stationary points and their applications to the scattering theory, Comm. Partial Differential Equations, 6 (1981), 273-287. 11) H. Soga, Singularities of the scattering kernel for convex obstacles, J. Math. Kyoto Univ., 22 (1983), 729-765. 12) H. Soga, Conditions against rapid decrease of oscillatory integrals and their applications to inverse scattering problems, Osaka J. Math., 23 (1986), 441-456. 13) M. E. Taylor, Grazing rays and reflection of singularities of solutions to wave equations, Comm. Pure Appl. Math., 29 (1976), 1-38. 14) K. Yamamoto, Characterization of a convex obstacle by singularities of the scattering kernel, J. Differential Equations, 64 (1986).
Right : [1] V. Guillemin, Sojourn time and asymptotic properties of the scattering matrix, Publ. RIMS, 12, Supl. (1977), 69-88. [2] L. Hörmander, Fourier integral operators I, Acta Math., 127 (1971), 79-183. [3] M. Ikawa, Decay of solutions of the wave equation in the exterior of two convex obstacles, Osaka J. Math., 19 (1982), 459-509. [4] H. Kumano-go, Pseudo-differential operators, MIT Press, 1982. [5] P. D. Lax and R. S. Phillips, Scattering Theory, Academic Press, 1967. [6] P. D. Lax and R. S. Phillips, Scattering theory for the acoustic equation in an even number of space dimensions, Indiana Univ. Math. J., 22 (1972), 101-134. [7] A. Majda, A representation formula for the scattering operator and the inverse problem for arbitrary bodies, Comm. Pure Appl. Math., 30 (1977), 165-194. [8] M. Matsumura, Asymptotic behavior at infinity for Green's functions of first order systems with characteristics of nonuniform multiplicity, Publ. RIMS, 12 (1976) 313-377. [9] V. M. Petkov, High frequency asymptotic of the scattering amplitude for non-convex bodies, Comm. Partial Differential Equations, 5 (1980), 293-329. [10] H. Soga, Oscillatory integrals with degenerate stationary points and their applications to the scattering theory, Comm. Partial Differential Equations, 6 (1981), 273-287. [11] H. Soga, Singularities of the scattering kernel for convex obstacles, J. Math. Kyoto Univ., 22 (1983), 729-765. [12] H. Soga, Conditions against rapid decrease of oscillatory integrals and their applications to inverse scattering problems, Osaka J. Math., 23 (1986), 441-456. [13] M. E. Taylor, Grazing rays and reflection of singularities of solutions to wave equations, Comm. Pure Appl. Math., 29 (1976), 1-38. [14] K. Yamamoto, Characterization of a convex obstacle by singularities of the scattering kernel, J. Differential Equations, 64 (1986).