Prof. Elene Obolashvili

(1924 - 2005)

PERSONAL DATA

 

Birthdate: 8 December, 1924
Birthplace: Village Bodbiskhevi, Sighnagi district
Nationality: Georgian

 


EDUCATION AND SCIENTIFIC DEGREES

1931-1941 52th school, Tbilisi
1941-1946 Student of Tbilisi State University, Faculty of Mathematics
1947-1950 Post-Graduate Student of Tbilisi State University
1953 Cand.Sci.(Phys.& Math.)
1966 Dr.Sci.(Phys.& Math.)
1970 Professor of Tbilisi State University


 

POSITION HELD AND ACADEMIC EXPERIENCE

1950-1957 Assistant of Faculty of Physics of Tbilisi State University
1957-1958 Junior Researcher at A. Razmadze Mathematical Institute of Georgian Academy of Sciences
1958-1986 Senior Researcher at A. Razmadze Mathematical Institute of Georgian Academy of Sciences
1986-2000 Leading Researcher at A. Razmadze Mathematical Institute of Georgian Academy of Sciences
2000-2005 Scientific Consultant at A. Razmadze Mathematical Institute of Georgian Academy of Sciences


RESEARCH INTERESTS

Boundary value problems of the theory of analytical functions; theory of elasticity; theory of shells and mathematical physics.


PUBLIC ACTIVITIES

1969-1971    Deputy of the City Council of Tbilisi

 

PRIZES AND AWARDS

1981 I. Vekua Prize  for the monograph ``Fourier Transformation and Its Application to the Theory of Elasticity''
1985 Status of honored scientist

 


LIST OF MAIN PUBLICATIONS

( i) monographs

  1. The Fourier transform and its application in elasticity theory. (Russian) ``Metsniereba'', Tbilisi, 1979. 232 pp.
  2. Some partial differential equations in Clifford analysis. Complex methods for partial differential equations (Ankara, 1998), 245-261, Int. Soc. Anal. Appl. Comput., 6, Kluwer Acad. Publ., Dordrecht, 1998.
  3. Higher order partial differential equations in Clifford Analysis. Effective solutions to problems. Birkhäuser, Boston-Basel-Berlin, 2003.

(ii) papers

  1. A boundary problem for a momentless ellipsoidal shell. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 22 (1959), 393-400.

  2. A theorem for momentless shells of negative curvarture. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 29 (1962), 661-664.

  3. A generalization of the Riemann-Schwarz symmetry principle and its applications. (Russian) Dokl. Akad. Nauk SSSR 157 (1964), 1051-1053.

  4. Effective solution of certain plane mixed problems of the theory of elasticity. (Russian) Prikladna. Meh. 2 (1966), vyp. 7, 127-130.

  5. Certain boundary value problems of the moment elasticity theory. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze 39 (1971), 43-50.

  6. A three-dimensional analogue of generalized analytic functions. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 73 (1974), 21-24.

  7. Solution of certain boundary value problems of the three-dimensional moment theory of elasticity. (Russian) Proceedings of the Symposium on Continuum Mechanics and Related Problems of Analysis (Tbilisi, 1971), Vol. 2 (Russian), 211-218. Izdat. “Mecniereba”, Tbilisi, 1974.

  8. A solution of certain boundary value problems for generalized analytic functions. (Russian) Differencial’nye Uravnenija 10 (1974), 112-116, 181.

  9. The regular continuation of the solutions of the equations of the moment theory of elasticity. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 77 (1975), No. 3, 533-536.

  10. Three-dimensional generalized holomorphic vectors. (Russian) Differencial’nye Uravnenija 11 (1975), 108-115, 204.

  11. A generalized Cauchy-Riemann system on multidimensional Euclidean space. (Russian) Komplexe Analysis und ihre Anwendung auf partielle Differentialgleichungen (Tagung, Martin-Luther-Universität, Halle, 1976). Wiss. Beitr. Martin-Luther-Univ. Halle-Wittenberg M 27 (1977), 36-39.

  12. Some generalizations of two-dimensional problems of elasticity theory. (Russian) Complex analysis and its applications (Russian), 447-449, 670, “Nauka”, Moscow, 1978.

  13. Some generalizations of the plane theory of elasticity and their relation to the shell theory. Theory of shells (Proc. Third IUTAM Sympos., Tbilisi, 1978), 407-415, North-Holland, Amsterdam-New York, 1980.

  14. Some boundary value problems of analytic functions and their applications in the theory of elasticity. (Russian) Trudy Tbiliss. Univ. 218 (1981), 14-24.

  15. Academician N. I. Muskhelishvili. (Russian) Trudy Tbiliss. Univ. 218 (1981), 7-13.

  16. Some applications of generalized analytic functions in the shell theory. Complex analysis, 296-308, Math. Lehrbücher Monogr. II. Abt. Math. Monogr., 61, Akademie-Verlag, Berlin, 1983.

  17. Some boundary value problems for generalized analytic functions and their applications. (Russian) Theory and numerical methods of calculating plates and shells (Tbilisi, 1984), 206-212, Tbilis. Gos. Univ., Inst. Prikl. Mat., Tbilisi, 1984.

  18. Some boundary value problems for a metaparabolic equation. (Russian) Reports of the extended sessions of a seminar of the I. N. Vekua Institute of Applied Mathematics, Vol. I, No. 1 (Russian) (Tbilisi, 1985), 161-164, 253, Tbilis. Gos. Univ., Tbilisi, 1985.

  19. Generalized holomorphic vectors. (Russian) Partial differential equations and their applications (Russian) (Tbilisi, 1982), 189-193, 253, Tbilis. Gos. Univ., Tbilisi, 1986.

  20. Solution of nonlocal problems in plane elasticity theory. (Russian) Current problems in mathematical physics, Vol. II (Russian) (Tbilisi, 1987), 295-302, 394, Tbilis. Gos. Univ., Tbilisi, 1987.

  21. Effective solutions of some boundary value problems in two- and three-dimensional cases. Functional analytic methods in complex analysis and applications to partial differential equations (Trieste, 1988), 149-172, World Sci. Publishing, River Edge, NJ, 1990.

  22. Reproducing kernels and uniqueness classes for the Cauchy problem in classes of generalized analytic functions (with M. Reissig). Partial differential equations with complex analysis, 35-44, Pitman Res. Notes Math. Ser., 262, Longman Sci. Tech., Harlow, 1992.

  23. Nonlocal problems for some partial differential equations. Complex Variables Theory Appl. 19 (1992), No. 1-2, 71-79.

  24. Nonlocal problems for some partial differential equations. Appl. Anal. 45 (1992), No. 1-4, 269-280.

  25. Nonlocal problems for the Beltrami equation and polyharmonic functions. Continuum mechanics and related problems of analysis (Tbilisi, 1991), 411-417, “Metsniereba”, Tbilisi, 1993.

  26. Some boundary value problems for a Beltrami equation (with H. Begehr). Complex Variables Theory Appl. 26 (1994), No. 1-2, 113-122.

  27. Nonlocal problems for Beltrami equation and polyharmonic functions. Proceedings devoted to N. Muskhelishvili’s anniversary, Tbilisi, 1994, 411-417.

  28. Some partial differential equations in Clifford analysis. Advances in geometric analysis and continuum mechanics (Stanford, CA, 1993), 232-239, Internat. Press, Cambridge, MA, 1995.

  29. Some partial differential equations in Clifford analysis. Generalizations of complex analysis and their applications in physics (Warsaw/Rynia, 1994), 173-179, Banach Center Publ., 37, Polish Acad. Sci., Warsaw, 1996.

  30. Effective solutions of some dual integral equations and their applications. Generalizations of complex analysis and their applications in physics (Warsaw/Rynia, 1994), 251-257, Banach Center Publ., 37, Polish Acad. Sci., Warsaw, 1996.

  31. Boundary and initial value problems in Clifford analysis. Proceedings of the Symp. Analytical and Numerical Meth. in Quater. and Clifford Analysis. Seiffen, 1996, 145-152.

  32. Generalized holomorphic functions and Clifford analysis. International Symposium on Differential Equations and Mathematical Physics (Tbilisi, 1997). Mem. Differential Equations Math. Phys. 12(1997), 184-191.

  33. Some partial differential equations in Clifford analysis. Clifford algebras and their application in mathematical physics (Aachen, 1996), 275-289, Fund. Theories Phys., 94, Kluwer Acad. Publ., Dordrecht, 1998.

  34. Generalized analytic functions in multidimensional spaces. Generalized analytic functions (Graz, 1997), 77-87, Int. Soc. Anal. Appl. Comput., 1, Kluwer Acad. Publ., Dordrecht, 1998.

  35. Generalized analytic functions in mechanics. Generalized analytic functions (Graz, 1997), 289-297, Int. Soc. Anal. Appl. Comput., 1, Kluwer Acad. Publ., Dordrecht, 1998.

  36. Some partial differential equations in Clifford analysis. Complex methods for partial differential equations (Ankara, 1998), 245-261, Int. Soc. Anal. Appl. Comput., 6, Kluwer Acad. Publ., Dordrecht, 1999.

  37. Beltrami equations and generalizations in Clifford analysis. Begehr special issue. Appl. Anal. 73 (1999), No. 1-2, 167-185.

  38. Paul Dirac and Clifford Analysis. Rep. Enlarged Sess. Semin. I. Vekua Appl. Math. 16 (2001), No. 1-3, 21-29.

  39. Pluriregular, plurigeneralized regular equations in Clifford Analysis. Georgian Math. J. 8 (2001), No. 3, 615-637.

  40. Some higher order equations in Clifford analysis. Functional-analytic and complex methods, their interactions, and applications to partial differential equations (Graz, 2001), 414-437, World Sci. Publishing, River Edge, NJ, 2001.

(iii) text-book

  1. Foundations of the mathematical theory of elasticity. (Georgian) Tbilisi University Press, Tbilisi, 1993.