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Volumn 250, Issue 1, 2000, Pages 333-367

A variational principle for the kramers equation with unbounded external forces

Author keywords

Brownian motion; Cost function; Gradient flux; Kantorovich functional; Kolmogorov Fokker Planck equation; Kramers equation; Variational principle

Indexed keywords


EID: 0034288692     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.2000.7109     Document Type: Article
Times cited : (22)

References (15)
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    • Ilin A., M.1
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    • The variational formation of the Fokker-Planck equation
    • Jordan R., Kinderlehrer D., Otto F. The variational formation of the Fokker-Planck equation. SIAM J. Math. Anal. 29:1998;1-17.
    • (1998) SIAM J. Math. Anal. , vol.29 , pp. 1-17
    • Jordan, R.1    Kinderlehrer, D.2    Otto, F.3
  • 8
    • 0000931654 scopus 로고
    • Solution of the multivariate Fokker-Planck equation by using a maximum path entropy principle
    • Jumarie G. Solution of the multivariate Fokker-Planck equation by using a maximum path entropy principle. J. Math. Phys. 31:1990;2389-2392.
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    • Jumarie, G.1
  • 9
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    • Brownian motion in a field of force and diffusion model of chemical reactions
    • Kramers H. A. Brownian motion in a field of force and diffusion model of chemical reactions. Physica. 7:1940;284-304.
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    • Kramers H., A.1
  • 10
    • 0003203092 scopus 로고
    • On a class of ultraparabolic operators of Kolmogorov-Fokker-Planck type
    • Polidoro S. On a class of ultraparabolic operators of Kolmogorov-Fokker-Planck type. Matematiche. 49:1994;53-105.
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    • Polidoro, S.1
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    • Universally measurable spaces: An invariance theorem and diverse characterizations
    • Shortt R. M. Universally measurable spaces: An invariance theorem and diverse characterizations. Fund. Math. 121:1984;169-176.
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    • On classical solution of Vlasov-Poisson-Fokker-Planck systems
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    • Weber, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.