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Volumn 291, Issue 2, 2004, Pages 419-437

Nonlocal transformations of Kolmogorov equations into the backward heat equation

Author keywords

Backward heat equation; Fokker Planck equation; Kolmogorov equation; Nonlocal transformation

Indexed keywords


EID: 1542615702     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmaa.2003.11.028     Document Type: Article
Times cited : (16)

References (12)
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  • 3
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    • Bluman, G.1    Doran-Wu, P.2
  • 5
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    • G. Bluman, S. Kumei, Symmetries and Differential Equations, in: Applied Mathematical Sciences, vol. 81, Springer, New York, 1989.
    • (1989) Applied Mathematical Sciences , vol.81
    • Bluman, G.1    Kumei, S.2
  • 6
    • 1542539290 scopus 로고
    • Sequences of related linear PDEs
    • G. Bluman, G. Reid, Sequences of related linear PDEs, J. Math. Anal. Appl. 144 (1989) 565-585.
    • (1989) J. Math. Anal. Appl. , vol.144 , pp. 565-585
    • Bluman, G.1    Reid, G.2
  • 7
    • 0009130782 scopus 로고    scopus 로고
    • New classes of Schrödinger equations equivalent to the free particle equation through non-local transformations
    • G. Bluman, V. Shtelen, New classes of Schrödinger equations equivalent to the free particle equation through non-local transformations, J. Phys. A 29 (1996) 4473-4480.
    • (1996) J. Phys. A , vol.29 , pp. 4473-4480
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  • 8
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    • On the transformation of the diffusion process to a Wiener process
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    • (1957) Theory Probab. Appl. , vol.2 , pp. 373-377
    • Cherkasov, I.D.1
  • 9
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    • Über die analytischen Methoden in der Wahrscheinlichkeitsrechnung
    • A. Kolmogoroff, Über die analytischen Methoden in der Wahrscheinlichkeitsrechnung, Math. Ann. 104 (1931) 415-458.
    • (1931) Math. Ann. , vol.104 , pp. 415-458
    • Kolmogoroff, A.1
  • 11
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    • On the transformation of diffusion processes into the Wiener process
    • L.M. Ricciardi, On the transformation of diffusion processes into the Wiener process, J. Math. Anal. Appl. 54 (1976) 185-199.
    • (1976) J. Math. Anal. Appl. , vol.54 , pp. 185-199
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  • 12
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    • Diffusion Processes and Related Topics in Biology
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    • L.M. Ricciardi, Diffusion Processes and Related Topics in Biology, in: Lecture Notes in Biomathematics, vol. 14, Springer, Berlin, 1977.
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    • Ricciardi, L.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.