메뉴 건너뛰기




Volumn , Issue , 2022, Pages 251-265

Arbitrary global lie group actions on generalised solutions of nonlinear PDEs and an answer to Hubert's fifth problem

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0343228215     PISSN: None     EISSN: None     Source Type: Book    
DOI: None     Document Type: Chapter
Times cited : (2)

References (27)
  • 1
    • 0003356823 scopus 로고
    • Mathematical Developments Arising from Hilbert Problems
    • (Ed), AMS Providence
    • F. E. Browder (Ed), Mathematical Developments Arising from Hilbert Problems. Proceedings of Symposia in Pure Mathematics, Vol. XXVIII, AMS Providence, 1976.
    • (1976) Proceedings of Symposia in Pure Mathematics , vol.28
    • Browder, F.E.1
  • 2
    • 0003748710 scopus 로고
    • Elementary Introduction to New Generalized Functions
    • Amsterdam
    • J.-F. Colombeau, Elementary Introduction to New Generalized Functions. North-Holland Mathematics Studies, Vol. 113, Amsterdam, 1985.
    • (1985) North-Holland Mathematics Studies , vol.113
    • Colombeau, J.-F.1
  • 3
    • 0000832248 scopus 로고
    • Mathematical Problems
    • (reprinted in F.E. Browder)
    • D. Hilbert, Mathematical Problems. Bull. AMS, Vol. 8, 1902, 437-479 (reprinted in F.E. Browder)
    • (1902) Bull. AMS , vol.8 , pp. 437-479
    • Hilbert, D.1
  • 6
    • 0003448192 scopus 로고
    • Multiplication of Distributions and Applications to PDEs
    • Longman, Harlow
    • M.B. Oberguggenberger, Multiplication of Distributions and Applications to PDEs. Pitman Research Notes in Mathematics, Vol. 259. Longman, Harlow, 1992.
    • (1992) Pitman Research Notes in Mathematics , vol.259
    • Oberguggenberger, M.B.1
  • 7
    • 0002360177 scopus 로고
    • Solution of Continuous Nonlinear PDEs through Order Completion
    • North-Holland, Amsterdam
    • M.B. Oberguggenberger, E.E. Rosinger, Solution of Continuous Nonlinear PDEs through Order Completion. North-Holland Mathematics Studies, Vol. 181. North-Holland, Amsterdam, 1994.
    • (1994) North-Holland Mathematics Studies , vol.181
    • Oberguggenberger, M.B.1    Rosinger, E.E.2
  • 10
    • 21444446573 scopus 로고    scopus 로고
    • Nonassociative local Lie groups
    • P.J. Olver, Nonassociative local Lie groups. J. Lie Theory, 6, 1996, 23-51.
    • (1996) J. Lie Theory , vol.6 , pp. 23-51
    • Olver, P.J.1
  • 11
    • 0041332746 scopus 로고
    • Embedding of the V' distributions into pseudo-topological algebras
    • E.E. Rosinger, Embedding of the V' distributions into pseudo-topological algebras. Stud. Cerc. Math., Vol. 18, No. 5, 1966, 687-729.
    • (1966) Stud. Cerc. Math , vol.18 , Issue.5 , pp. 687-729
    • Rosinger, E.E.1
  • 12
    • 0042835339 scopus 로고
    • Pseudotopological spaces, the embedding of the V' distributions into algebras
    • E.E. Rosinger, Pseudotopological spaces, the embedding of the V' distributions into algebras. Stud. Cere. Math., Vol. 20, No. 4, 1968, 553-582.
    • (1968) Stud. Cere. Math , vol.20 , Issue.4 , pp. 553-582
    • Rosinger, E.E.1
  • 13
    • 84972500322 scopus 로고
    • Division of Distributions
    • E. E. Rosinger, Division of Distributions. Pacif. J. Math., Vol. 66, No. 1, 1976, 257-263.
    • (1976) Pacif. J. Math , vol.66 , Issue.1 , pp. 257-263
    • Rosinger, E.E.1
  • 14
    • 0041034985 scopus 로고
    • Nonsymmetric Dirac distributions in scattering theory
    • Springer, New York
    • E.E. Rosinger, Nonsymmetric Dirac distributions in scattering theory. In Springer Lecture Notes in Mathematics, Vol. 564, 391-399, Springer, New York, 1976.
    • (1976) Springer Lecture Notes in Mathematics , vol.564 , pp. 391-399
    • Rosinger, E.E.1
  • 15
    • 0007286788 scopus 로고
    • Distributions and Nonlinear Partial Differential Equations
    • Springer, New York
    • E.E. Rosinger, Distributions and Nonlinear Partial Differential Equations. Springer Lectures Notes in Mathematics, Vol. 684, Springer, New York, 1978.
    • (1978) Springer Lectures Notes in Mathematics , vol.684
    • Rosinger, E.E.1
  • 16
    • 0007280554 scopus 로고
    • Nonlinear Partial Differential Equations, Sequential and Weak Solutions
    • Amsterdam
    • E.E. Rosinger, Nonlinear Partial Differential Equations, Sequential and Weak Solutions, North Holland Mathematics Studies, Vol. 44, Amsterdam, 1980.
    • (1980) North Holland Mathematics Studies , vol.44
    • Rosinger, E.E.1
  • 17
    • 85013520859 scopus 로고
    • Generalized Solutions of Nonlinear Partial Differential Equations
    • Amsterdam
    • E.E. Rosinger, Generalized Solutions of Nonlinear Partial Differential Equations. North Holland Mathematics Studies, Vol. 146, Amsterdam, 1987.
    • (1987) North Holland Mathematics Studies , vol.146
    • Rosinger, E.E.1
  • 18
    • 0007280554 scopus 로고
    • Nonlinear Partial Differential Equations, An Algebraic View of Generalized Solutions
    • Amsterdam
    • E.E. Rosinger, Nonlinear Partial Differential Equations, An Algebraic View of Generalized Solutions. North Holland Mathematics Studies, Vol. 164, Amsterdam, 1990.
    • (1990) North Holland Mathematics Studies , vol.164
    • Rosinger, E.E.1
  • 19
    • 0342793657 scopus 로고
    • Global version of the Cauchy-Kovalevskaia theorem for nonlinear PDEs
    • E.E. Rosinger, Global version of the Cauchy-Kovalevskaia theorem for nonlinear PDEs. Acta Appl. Math., Vol. 21, 1990, 331-343.
    • (1990) Acta Appl. Math , vol.21 , pp. 331-343
    • Rosinger, E.E.1
  • 20
    • 0343228216 scopus 로고
    • Characterization for the solvability of nonlinear PDEs
    • E.E. Rosinger, Characterization for the solvability of nonlinear PDEs, Trans. AMS, Vol. 330, 1992, 203-225.
    • (1992) Trans. AMS , vol.330 , pp. 203-225
    • Rosinger, E.E.1
  • 21
    • 0342358663 scopus 로고    scopus 로고
    • Nonprojectable Lie Symmetries of nonlinear PDEs and a negative solution to Hubert's fifth problem
    • In (Eds. N.H. Ibragimov and F.M. Mahomed) Johannesburg, January, New Age Inter. Publ., New Delhi
    • E.E. Rosinger, Nonprojectable Lie Symmetries of nonlinear PDEs and a negative solution to Hubert's fifth problem. In (Eds. N.H. Ibragimov and F.M. Mahomed) Modern Group Analysis VI, Proceedings of the International Conference in the New South Africa, Johannesburg, January 1996, 21-30. New Age Inter. Publ., New Delhi, 1997.
    • (1996) Modern Group Analysis VI, Proceedings of the International Conference in the New South Africa , pp. 21-30
    • Rosinger, E.E.1
  • 23
    • 0002102999 scopus 로고
    • Group invariance of global generalised solutions of nonlinear PDEs: A Dedekind order completion method
    • July-August
    • E.E. Rosinger, M. Rudolph, Group invariance of global generalised solutions of nonlinear PDEs: A Dedekind order completion method. Lie Groups and their Applications, Vol. 1, No. 1, July-August 1994, 203-215.
    • (1994) Lie Groups and their Applications , vol.1 , Issue.1 , pp. 203-215
    • Rosinger, E.E.1    Rudolph, M.2
  • 24
    • 0002297715 scopus 로고
    • Group invariance of generalized solutions obtained through the algebraic method
    • E.E. Rosinger, E.Y. Walus, Group invariance of generalized solutions obtained through the algebraic method. Nonlinearity, Vol. 7, 1994, 837-859.
    • (1994) Nonlinearity , vol.7 , pp. 837-859
    • Rosinger, E.E.1    Walus, E.Y.2
  • 25
    • 0343228209 scopus 로고
    • Group invariance of global generalised solutions of nonlinear PDEs in nowhere dense algebras
    • July-August
    • E.E. Rosinger, E.Y. Walus, Group invariance of global generalised solutions of nonlinear PDEs in nowhere dense algebras. Lie Groups and their Applications, Vol. 1, No. 1, July-August 1994, 216-225.
    • (1994) Lie Groups and their Applications , vol.1 , Issue.1 , pp. 216-225
    • Rosinger, E.E.1    Walus, E.Y.2
  • 26
    • 0000137650 scopus 로고    scopus 로고
    • Grupoids: Unifying internal and external symmetry, a tour through some examples
    • July
    • A. Weinstein, Grupoids: unifying internal and external symmetry, a tour through some examples. Notices of the AMS, Vol. 43, No. 7, July 1996, 744-752.
    • (1996) Notices of the AMS , vol.43 , Issue.7 , pp. 744-752
    • Weinstein, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.