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Volumn 157, Issue 1, 2001, Pages 75-90

Renormalized solutions to the Vlasov equation with coefficients of bounded variation

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EID: 0035627821     PISSN: 00039527     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00004237     Document Type: Article
Times cited : (91)

References (18)
  • 1
    • 84968516183 scopus 로고
    • A general chain rule for distributional derivatives
    • L. AMBROSIO & G. DAL MASO, A general chain rule for distributional derivatives, Proc. Amer. Math. Soc. 108 (1990), 691-702.
    • (1990) Proc. Amer. Math. Soc. , vol.108 , pp. 691-702
    • Ambrosio, L.1    Dal Maso, G.2
  • 3
    • 0010068778 scopus 로고
    • Remarques sur l'homogénéisation de certains problèmes quasi-linéaires
    • L. BOCCARDO & F. MURAT, Remarques sur l'homogénéisation de certains problèmes quasi-linéaires, Portugal. Math. 41 (1984), 535-562.
    • (1984) Portugal. Math. , vol.41 , pp. 535-562
    • Boccardo, L.1    Murat, F.2
  • 4
    • 0010996358 scopus 로고    scopus 로고
    • On two-dimensional hamiltonian transport équations with continuous coefficients
    • F. BOUCHUT & L. DESVILLETTES, On two-dimensional hamiltonian transport équations with continuous coefficients. Diff. and Int. Eq. 14 (2001), 1015-1024.
    • (2001) Diff. and Int. Eq. , vol.14 , pp. 1015-1024
    • Bouchut, F.1    Desvillettes, L.2
  • 5
    • 0032092187 scopus 로고    scopus 로고
    • One-dimensional transport equations with discontinuous coefficients
    • F. BOUCHUT & F. JAMES, One-dimensional transport equations with discontinuous coefficients, Nonlinear Anal. 32 (1998), 891-933.
    • (1998) Nonlinear Anal. , vol.32 , pp. 891-933
    • Bouchut, F.1    James, F.2
  • 6
    • 0000563828 scopus 로고    scopus 로고
    • On some analogy between different approaches to first order PDE's with nonsmooth coefficients
    • I. CAPUZZO DOLCETTA & B. PERTHAME, On some analogy between different approaches to first order PDE's with nonsmooth coefficients, Adv. Math. Sci. Appl. 6 (1996), 689-703.
    • (1996) Adv. Math. Sci. Appl. , vol.6 , pp. 689-703
    • Capuzzo Dolcetta, I.1    Perthame, B.2
  • 7
    • 0001522672 scopus 로고
    • Definition and weak stability of nonconservative products
    • G. DAL MASO, P. LE FLOCH & F. MURAT, Definition and weak stability of nonconservative products, J. Math. Pures Appl. 74 (1995), 483-548.
    • (1995) J. Math. Pures Appl. , vol.74 , pp. 483-548
    • Dal Maso, G.1    Le Floch, P.2    Murat, F.3
  • 8
    • 0001424807 scopus 로고    scopus 로고
    • A few remarks on ordinary differential equations
    • B. DESJARDINS, A few remarks on ordinary differential equations, Comm. Partial Differential Equations 21 (1996), 1667-1703.
    • (1996) Comm. Partial Differential Equations , vol.21 , pp. 1667-1703
    • Desjardins, B.1
  • 9
    • 0003398737 scopus 로고
    • Chapitres XVI et XVII (French), Cahiers Scientifiques, Fasc. XXXIII, GAUTHIER-VILLARS Ed. Paris
    • J. DIEUDONNÉ, Eléments d'analyse, Tome III: Chapitres XVI et XVII (French), Cahiers Scientifiques, Fasc. XXXIII, GAUTHIER-VILLARS Ed. Paris 1970.
    • (1970) Eléments d'Analyse , vol.3
    • Dieudonné, J.1
  • 10
    • 0002306354 scopus 로고
    • Ordinary differential equations, transport theory and Sobolev spaces
    • R. J. DIPERNA & P.-L. LIONS, Ordinary differential equations, transport theory and Sobolev spaces, Invent. Math. 98 (1989), 511-547.
    • (1989) Invent. Math. , vol.98 , pp. 511-547
    • Diperna, R.J.1    Lions, P.-L.2
  • 11
    • 0032043481 scopus 로고    scopus 로고
    • Sur les équations différentielles ordinaires et les équations de transport
    • P.-L. LIONS, Sur les équations différentielles ordinaires et les équations de transport, C. R. Acad. Sci. Paris Sér. I 326 (1998), 833-838.
    • (1998) C. R. Acad. Sci. Paris Sér. I , vol.326 , pp. 833-838
    • Lions, P.-L.1
  • 12
    • 0039387583 scopus 로고
    • Absolute continuity on tracks and mappings of Sobolev spaces
    • M. MARCUS & V. J. MIZEL, Absolute continuity on tracks and mappings of Sobolev spaces, Arch. Rational Mech. Anal. 45 (1972), 294-320.
    • (1972) Arch. Rational Mech. Anal. , vol.45 , pp. 294-320
    • Marcus, M.1    Mizel, V.J.2
  • 13
    • 0001496464 scopus 로고
    • Every superposition operator mapping one Sobolev space into another is continuous
    • M. MARCUS & V.J. MIZEL, Every superposition operator mapping one Sobolev space into another is continuous, J. Funct. Anal. 33 (1979), 217-229.
    • (1979) J. Funct. Anal. , vol.33 , pp. 217-229
    • Marcus, M.1    Mizel, V.J.2
  • 14
    • 0010730793 scopus 로고
    • Complete characterization of functions which act, via superposition, on Sobolev spaces
    • M. MARCUS & V.J. MIZEL, Complete characterization of functions which act, via superposition, on Sobolev spaces, Trans. Amer. Math. Soc. 251 (1979), 187-218.
    • (1979) Trans. Amer. Math. Soc. , vol.251 , pp. 187-218
    • Marcus, M.1    Mizel, V.J.2
  • 16
    • 0033474746 scopus 로고    scopus 로고
    • Linear transport equations with discontinuous coefficients
    • G. PETROVA & B. POPOV, Linear transport equations with discontinuous coefficients, Comm. Partial Diff. Eq. 24 (1999), 1849-1873.
    • (1999) Comm. Partial Diff. Eq. , vol.24 , pp. 1849-1873
    • Petrova, G.1    Popov, B.2
  • 17
    • 0000389658 scopus 로고    scopus 로고
    • Measure solutions to the linear multi-dimensional transport equation with non-smooth coefficients
    • F. POUPAUD & M. RASCLE, Measure solutions to the linear multi-dimensional transport equation with non-smooth coefficients, Comm. Partial Differential Equations 22 (1997), 337-358.
    • (1997) Comm. Partial Differential Equations , vol.22 , pp. 337-358
    • Poupaud, F.1    Rascle, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.