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Volumn 8, Issue 4, 2002, Pages 537-558

A weak criterion of absolute continuity for jump processes: Application to the Boltzmann equation

Author keywords

Boltzmann equations; Stochastic calculus of variations; Stochastic differential equations with jumps

Indexed keywords


EID: 33747358017     PISSN: 13507265     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (9)

References (15)
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    • Bichteler, K. and Jacod, J. (1983) Calcul de Malliavin pour les diffusions avec sauts: existence d'une densité dans le cas unidimensionnel. In J. Azéma and M. Yor (eds), Séminaire de Probabilités XVII, Lecture Notes in Math. 986, pp. 132-157. Berlin: Springer-Verlag.
    • (1983) Séminaire de Probabilités XVII , pp. 132-157
    • Bichteler, K.1    Jacod, J.2
  • 4
    • 0000450260 scopus 로고
    • Calcul des variations stochastique et processus de sauts
    • Bismut, J.M. (1983) Calcul des variations stochastique et processus de sauts. Z. Wahrscheinlichkeitstheorie Verw. Geb., 63, 147-235.
    • (1983) Z. Wahrscheinlichkeitstheorie Verw. Geb. , vol.63 , pp. 147-235
    • Bismut, J.M.1
  • 5
    • 0031495264 scopus 로고    scopus 로고
    • Regularization properties of the 2-dimensional non-radially symmetric non-cutoff spatially homogeneous Boltzmann equation for Maxwellian molecules
    • Desvillettes, L. (1997) Regularization properties of the 2-dimensional non-radially symmetric non-cutoff spatially homogeneous Boltzmann equation for Maxwellian molecules. Transport Theory Statist. Phys., 26, 341-357.
    • (1997) Transport Theory Statist. Phys. , vol.26 , pp. 341-357
    • Desvillettes, L.1
  • 6
    • 0033228811 scopus 로고    scopus 로고
    • Probabilistic interpretation and numerical approximation of a Kac equation without cutoff
    • Desvillettes, L., Graham, C. and Méléard, S. (1999) Probabilistic interpretation and numerical approximation of a Kac equation without cutoff. Stochastics Process. Appl., 84, 115-135.
    • (1999) Stochastics Process. Appl. , vol.84 , pp. 115-135
    • Desvillettes, L.1    Graham, C.2    Méléard, S.3
  • 7
    • 0034401299 scopus 로고    scopus 로고
    • Existence and regularity study for a 2-dimensional Kac equation without cutoff by a probabilistic approach
    • Fournier, N. (2000) Existence and regularity study for a 2-dimensional Kac equation without cutoff by a probabilistic approach. Ann. Appl. Probab., 10, 434-462.
    • (2000) Ann. Appl. Probab. , vol.10 , pp. 434-462
    • Fournier, N.1
  • 8
    • 0035535161 scopus 로고    scopus 로고
    • A Markov process associated with a Boltzmann equation without cutoff and for non-Maxwell molecules
    • Fournier, N. and Méléard, S. (2001) A Markov process associated with a Boltzmann equation without cutoff and for non-Maxwell molecules. J Statist Phys., 104, 359-385.
    • (2001) J Statist Phys. , vol.104 , pp. 359-385
    • Fournier, N.1    Méléard, S.2
  • 9
    • 0036013524 scopus 로고    scopus 로고
    • A stochastic particle numerical method for 3D Boltzmann equations without cutoff
    • Fournier, N. and Méléard, S. (2002) A stochastic particle numerical method for 3D Boltzmann equations without cutoff. Math. Comp., 71, 583-604.
    • (2002) Math. Comp. , vol.71 , pp. 583-604
    • Fournier, N.1    Méléard, S.2
  • 10
    • 0033474588 scopus 로고    scopus 로고
    • Existence and regularity of a solution of a Kac equation without cutoff using the stochastic calculus of variations
    • Graham, C. and Méléard, S. (1999) Existence and regularity of a solution of a Kac equation without cutoff using the stochastic calculus of variations. Commun. Math. Phys., 205, 551-569.
    • (1999) Commun. Math. Phys. , vol.205 , pp. 551-569
    • Graham, C.1    Méléard, S.2
  • 11
    • 0009928915 scopus 로고
    • Martingale problem associated with the Boltzmann equation
    • E. Çinlar, K.L. Chung, R.K. Getoor, P.J. Fitzsimmons and R.J. Williams (eds) . Boston: Birkhäuser
    • Horowitz, J. and Karandikar, R.L. (1990) Martingale problem associated with the Boltzmann equation. In E. Çinlar, K.L. Chung, R.K. Getoor, P.J. Fitzsimmons and R.J. Williams (eds), Seminar on Stochastic Processes, 1989. Boston: Birkhäuser.
    • (1990) Seminar on Stochastic Processes, 1989
    • Horowitz, J.1    Karandikar, R.L.2
  • 12
    • 0001244851 scopus 로고
    • Equations différentielles linéaires, la variation des constantes
    • J. Azéma and M. Yor (eds), Lecture Notes in Math. 920, . Berlin: Springer-Verlag
    • Jacod, J. (1982) Equations différentielles linéaires, la variation des constantes. In J. Azéma and M. Yor (eds), Séminaire de Probabilités XVI, Lecture Notes in Math. 920, pp. 442-448. Berlin: Springer-Verlag.
    • (1982) Séminaire de Probabilités XVI , pp. 442-448
    • Jacod, J.1
  • 15
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    • Probabilistic treatment of the Boltzmann equation of Maxwellian molecules
    • Tanaka, H. (1978) Probabilistic treatment of the Boltzmann equation of Maxwellian molecules. Z. Wahrscheinlichkeitstheorie Verw. Geb., 46, 67-105.
    • (1978) Z. Wahrscheinlichkeitstheorie Verw. Geb. , vol.46 , pp. 67-105
    • Tanaka, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.