Raphiel Kapanadze

(21.1. 1941, village Khreiti -
7.4. 1996, Tbilisi)



EDUCATION AND SCIENTIFIC DEGREES

1948-1958 Pupil of Khreiti secondary school
1958-1963 Student of Tbilisi State University, Faculty of Mechanics and Mathematics
1963 Diploma in Mathematics, Tbilisi State University
1963-1966 Post-graduate student of A. Razmadze Mathematical Institute
1968 Ph. D. in Mathematics, Tbilisi State University



POSITIONS HELD AND ACADEMIC EXPERIENCE

1966-1969 Junior researcher of I. Vekua Institute of Applied Mathematics of Tbilisi State University
1969-1981 Senior researcher of I. Vekua Institute of Applied Mathematics of Tbilisi State University
1981-1989 Senior researcher of A. Razmadze Mathematical Institute
1989-1994 Leading researcher of A. Razmadze Mathematical Institute
1994-1996 Head of the Department of Continuum Mechanics of A. Razmadze Mathematical Institute



RESEARCH INTERESTS

Theory of partial differential equations and integral equations, mathematical physics, theory of elasticity.



MAIN PUBLICATIONS

  1. Approximation of continuous functions by spherical polinomials. (Russian) Sakarth. SSR Mecn. Akad. Moambe , 45 (1967), 21-26.
  2. Spaces, invariant with respect to a singular integral transformation. (Russian) Sakarth. SSR Mecn. Akad. Math. Inst. Shrom. , 32 (1967), 164-170.
  3. Certain properties of singular integral operators in normed spaces. (Russian) Tbilis. Sahelmc. Univ. Shrom. Mekh. -Math. Mecn. Ser. , 129 (1968), 17-26.
  4. The complete continuity of a certain integral operator. (Russian) Tbilis. Sahelmc. Univ. Gamokeneb. Math. Inst. Shrom. , 3 (1972), 109-114.
  5. Some boundary value problems of the dynamics of the moment theory of elasticity (with R. Chichinadze). (Russian) In: Publications on Problems of Continuum Mechanics. (Russian) Izdat. Tbilis. Univ., Tbilisi, 1976. 96 pp.
  6. Boundary value problems of elasticity theory for anisotropic homogenious media. (Russian) Sakarth. SSR Mecn. Akad. Moambe , 88 (1977), No. 2, 305-308.
  7. Boundary value problems of the dynamics of elasticity theory for anisotropic homogenious media. (Russian) Sakarth. SSR Mecn. Akad. Moambe , 90 (1978), No. 1, 41-44.
  8. Some properties of integral operators. (Russian) In: Proceedings of the I.N. Vekua Institute of Applied Mathematics,, 7, (Russian) Izdat. Tbilis. Univ., Tbilisi, 1980. 96 pp. 84-93.
  9. On integral operators on manifolds without boundary and some of their applications. (Russian) Soobshch. Akad. Nauk Gruzin. SSR , 107 (1982), No. 2, 261-264.
  10. Investigation of boundary value problems in elasticity theory for anisotropic media. by potential methods. I. Trudy Tbiliss. Mat. Inst. Razmadze Akad. Nauk Gruzin. SSR , 87 (1987), 82-113.
  11. Singular integral equations on manifolds with a boundary. Georgian Math. J. 1 (1994), No.4, 377-393.
  12. Factorization of matrix-functions and regularization of singular integral operators on manifolds with boundary. Mem. Differential Equations Math. Phys. 2 (1994), No. 1, 3-70.