메뉴 건너뛰기




Volumn 195, Issue 2, 2009, Pages 643-673

Erratum to: Existence and Strong Pre-compactness Properties for Entropy Solutions of a First-Order Quasilinear Equation with Discontinuous Flux (Arch. Rational Mech. Anal., (2010), 195, (643-673), 10.1007/s00205-009-0217-x);Existence and strong pre-compactness properties for entropy solutions of a first-order quasilinear equation with discontinuous flux

Author keywords

[No Author keywords available]

Indexed keywords


EID: 72449172113     PISSN: 00039527     EISSN: 14320673     Source Type: Journal    
DOI: 10.1007/s00205-010-0303-0     Document Type: Erratum
Times cited : (89)

References (23)
  • 3
    • 0021835204 scopus 로고
    • Measure-valued solutions to conservation laws
    • DiPerna R. J.: Measure-valued solutions to conservation laws. Arch. Ration. Mech. Anal. 88, 223-270 (1985).
    • (1985) Arch. Ration. Mech. Anal. , vol.88 , pp. 223-270
    • Diperna, R.J.1
  • 4
  • 6
    • 4444234405 scopus 로고    scopus 로고
    • L1 stability for entropy solutions of nonlinear degenerate parabolic connection-diffusion equations with discontinuous coefficients
    • Karlsen K. H., Risebro N. H., Towers J. D.: L1 stability for entropy solutions of nonlinear degenerate parabolic connection-diffusion equations with discontinuous coefficients. Skr. K. Nor. Vid. Selsk. 3, 1-14 (2003).
    • (2003) Skr. K. Nor. Vid. Selsk. , vol.3 , pp. 1-14
    • Karlsen, K.H.1    Risebro, N.H.2    Towers, J.D.3
  • 7
    • 4444361444 scopus 로고    scopus 로고
    • Convergence of the Lax-Friedrichs scheme and stability for conservation laws with a discontionuous space-time dependence flux
    • Karlsen K. H., Towers J. D.: Convergence of the Lax-Friedrichs scheme and stability for conservation laws with a discontionuous space-time dependence flux. Chin. Ann. Math. 25B(3), 287-318 (2004).
    • (2004) Chin. Ann. Math. , vol.25 B , Issue.3 , pp. 287-318
    • Karlsen, K.H.1    Towers, J.D.2
  • 8
    • 34547160802 scopus 로고    scopus 로고
    • On the existence and compactness of a two-dimensional resonant system of conservation laws
    • Karlsen K. H., Rascle M., Tadmor E.: On the existence and compactness of a two-dimensional resonant system of conservation laws. Commun. Math. Sci. 5(2), 253-265 (2007).
    • (2007) Commun. Math. Sci. , vol.5 , Issue.2 , pp. 253-265
    • Karlsen, K.H.1    Rascle, M.2    Tadmor, E.3
  • 9
    • 0000220624 scopus 로고
    • First order quasilinear equations in several independent variables
    • Kruzhkov, S. N.: First order quasilinear equations in several independent variables. Mat. Sbornik. 81(2), 228-255 (1970); English transl. in Math. USSR Sb. 10(2), 217-243 (1970).
    • (1970) Mat. Sbornik , vol.81 , Issue.2 , pp. 228-255
    • Kruzhkov, S.N.1
  • 10
    • 84956238079 scopus 로고
    • First order quasilinear equations in several independent variables
    • USSR Sb
    • English transl. in Math. USSR Sb. 10(2), 217-243 (1970).
    • (1970) English Transl. in Math. , vol.10 , Issue.2 , pp. 217-243
    • Kruzhkov, S.N.1
  • 11
    • 84968518243 scopus 로고
    • A kinetic formulation of multidimensional scalar conservation laws and related equations
    • Lions P. L., Perthame B., Tadmor E.: A kinetic formulation of multidimensional scalar conservation laws and related equations. J. Am. Math. Soc. 7(1), 169-191 (1994).
    • (1994) J. Am. Math. Soc. , vol.7 , Issue.1 , pp. 169-191
    • Lions, P.L.1    Perthame, B.2    Tadmor, E.3
  • 12
    • 0002610168 scopus 로고
    • On sequences of measure-valued solutions of first-order quasilinear equations
    • Panov, E. Yu.: On sequences of measure-valued solutions of first-order quasilinear equations. Matem. Sbornik 185(2), 87-106 (1994); English transl. in Russian Acad. Sci. Sb. Math. 81 (1995).
    • (1994) Matem. Sbornik , vol.185 , Issue.2 , pp. 87-106
    • Panov, E.Y.1
  • 13
    • 84894354126 scopus 로고
    • On sequences of measure-valued solutions of first-order quasilinear equations
    • English transl. in Russian Acad. Sci. Sb. Math. 81 (1995).
    • (1995) Russian Acad. Sci. Sb. Math. , vol.81
    • Panov, E.Y.1
  • 14
    • 0000211865 scopus 로고
    • On strong precompactness of bounded sets of measure valued solutions for a first order quasilinear equation
    • Panov, E. Yu.: On strong precompactness of bounded sets of measure valued solutions for a first order quasilinear equation. Matemat. Sbornik186(5), 103-114 (1995); Engl. transl. in Sbornik: Mathematics186, 729-740 (1995).
    • (1995) Matemat. Sbornik , vol.186 , Issue.5 , pp. 103-114
    • Panov, E.Y.1
  • 15
    • 34247536123 scopus 로고
    • On strong precompactness of bounded sets of measure valued solutions for a first order quasilinear equation
    • Engl. transl. in Sbornik: Mathematics 186, 729-740 (1995).
    • (1995) Sbornik: Mathematics , vol.186 , pp. 729-740
    • Panov, E.Y.1
  • 16
    • 0012988235 scopus 로고    scopus 로고
    • Property of strong precompactness for bounded sets of measure valued solutions of a first-order quasilinear equation
    • Panov, E. Yu.: Property of strong precompactness for bounded sets of measure valued solutions of a first-order quasilinear equation. Matemat. Sbornik190(3), 109-128 (1999); Engl. transl. in Sbornik: Mathematics190(3), 427-446 (1999).
    • (1999) Matemat. Sbornik , vol.190 , Issue.3 , pp. 109-128
    • Panov E., Y.1
  • 17
    • 0033244095 scopus 로고    scopus 로고
    • Property of strong precompactness for bounded sets of measure valued solutions of a first-order quasilinear equation
    • Engl. transl. in Sbornik: Mathematics 190(3), 427-446 (1999).
    • (1999) Sbornik: Mathematics , vol.190 , Issue.3 , pp. 427-446
    • Panov E., Y.1
  • 18
    • 33748761579 scopus 로고    scopus 로고
    • On generalized entropy solutions of the Cauchy problem for a first order quasilinear equation in the class of locally summable functions
    • Panov, E. Yu.: On generalized entropy solutions of the Cauchy problem for a first order quasilinear equation in the class of locally summable functions. Izvestiya RAN66(6), 91-136 (2002); Engl. transl. in Izvestiya: Mathematics66(6), 1171-1218 (2002).
    • (2002) Izvestiya RAN , vol.66 , Issue.6 , pp. 91-136
    • Panov, E.Y.1
  • 19
    • 72449153063 scopus 로고    scopus 로고
    • On generalized entropy solutions of the Cauchy problem for a first order quasilinear equation in the class of locally summable functions
    • Engl. transl. in Izvestiya: Mathematics 66(6), 1171-1218 (2002).
    • (2002) Izvestiya: Mathematics , vol.66 , Issue.6 , pp. 1171-1218
    • Panov, E.Y.1
  • 20
    • 34547320149 scopus 로고    scopus 로고
    • Existence of Strong Traces for Generalized Solutions of Multidimensional Scalar Conservation Laws
    • Panov E. Yu.: Existence of Strong Traces for Generalized Solutions of Multidimensional Scalar Conservation Laws. J. Hyperbolic Differ. Equ. 2(4), 885-908 (2005).
    • (2005) J. Hyperbolic Differ. Equ. , vol.2 , Issue.4 , pp. 885-908
    • Panov, E.Y.1
  • 21
    • 37249074056 scopus 로고    scopus 로고
    • Existence of strong traces for quasi-solutions of multidimensional conservation laws
    • Panov E. Yu.: Existence of strong traces for quasi-solutions of multidimensional conservation laws. J. Hyperbolic Differ. Equ. 4(4), 729-770 (2007).
    • (2007) J. Hyperbolic Differ. Equ. , vol.4 , Issue.4 , pp. 729-770
    • Panov, E.Y.1
  • 22
    • 0000440966 scopus 로고
    • Compensated compactness and applications to partial differential equations Nonlinear Analysis and Mechanics: Heriot
    • 4 (Edinburgh 1979)
    • Tartar L.: Compensated compactness and applications to partial differential equations. Nonlinear Analysis and Mechanics: Heriot. Watt Symposium, vol. 4 (Edinburgh 1979), Res. Notes Math. 39, 136-212 (1979).
    • (1979) Watt Symposium, Res. Notes Math. , vol.39 , pp. 136-212
    • Tartar, L.1
  • 23
    • 84974050752 scopus 로고
    • H-measures, a new approach for studying homogenisation, oscillations and concentration effects in partial differential equations
    • Tartar L.: H-measures, a new approach for studying homogenisation, oscillations and concentration effects in partial differential equations. Proc. R. Soc. Edinb. Sect. A. 115(3-4), 193-230 (1990).
    • (1990) Proc. R. Soc. Edinb. Sect. A. , vol.115 , Issue.3-4 , pp. 193-230
    • Tartar, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.