Free Access
Volume 8, 2002
A tribute to JL Lions
Page(s) 761 - 774
Published online 15 August 2002
  1. L. Ambrosio, C. De Lellis and C. Mantegazza, Line energies for gradient vector fields in the plane. Calc. Var. Partial Differential Equations 9 (1999) 327-355. [CrossRef] [MathSciNet]
  2. J. Bergh and J. Löfström, Interpolation spaces, an introduction. Springer-Verlag, A Ser. of Comprehensive Stud. in Math. 223 (1976).
  3. Y. Brenier and L. Corrias, A kinetic formulation formulti-branch entropy solutions of scalar conservation laws. Ann. Inst. H. Poincaré Anal. Non Linéaire 15 (1998) 169-190. [CrossRef] [MathSciNet]
  4. M. Bézard, Régularité Lp précisée des moyennes dans les équations de transport. Bull. Soc. Math. France 122 (1994) 29-76. [MathSciNet]
  5. F. Bouchut and L. Desvillettes, Averaging lemmas without time Fourier transform and applications to discretized kineticequations. Proc. Roy. Soc. Edinburgh Ser. A 129 (1999) 19-36.
  6. F. Bouchut, F. Golse and M. Pulvirenti, Kinetic equations and asymptotic theory. Gauthiers-Villars, Ser. in Appl. Math. (2000).
  7. A. Desimone, R.W. Kohn, S. Müller and F. Otto, Magnetic microstructures, a paradigm of multiscale problems. Proc. of ICIAM (to appear).
  8. R. DeVore and G.P. Petrova, The averaging lemma. J. Amer. Math. Soc. 14 (2001) 279-296. [CrossRef] [MathSciNet]
  9. R. DiPerna and P.L. Lions, Global weak solutions of Vlasov-Maxwell systems. Comm. Pure Appl. Math. 42 (1989) 729-757. [CrossRef] [MathSciNet]
  10. R. DiPerna, P.L. Lions and Y. Meyer, Lp regularity of velocity averages. Ann. Inst. H. Poincaré Anal. Non Linéaire 8 (1991) 271-287.
  11. P. Gérard, Microlocal defect measures. Comm. Partial Differential Equations 16 (1991) 1761-1794. [CrossRef]
  12. F. Golse, Quelques résultats de moyennisation pour les équations aux dérivées partielles. Rend. Sem. Mat. Univ. Pol. Torino, Fascicolo Speciale 1988 Hyperbolic equations (1987) 101-123.
  13. F. Golse, P.L. Lions, B. Perthame and R. Sentis, Regularity of the moments of the solution of a transport equation. J. Funct. Anal. 26 (1988) 110-125. [CrossRef] [MathSciNet]
  14. F. Golse, B. Perthame and R. Sentis, Un résultat de compacité pour les équations de transport et application au calcul de la limite de la valeur propre principale d'un opérateur de transport. C. R. Acad. Sci. Paris Sér. I Math. 301 (1985) 341-344.
  15. S. Hwang and A. Tzavaras, Kinetic decomposition of approximate solutions to conservation laws: Applications to relaxation and diffusion-dispersion approximations, Preprint. University of Wisconsin, Madison (2001).
  16. P.-E. Jabin and B. Perthame, Compactness in Ginzburg-Landau energy by kinetic averaging. Comm. Pure Appl. Math. 54 (2001) 1096-1109. [CrossRef] [MathSciNet]
  17. P.-E. Jabin, F. Otto and B. Perthame, Line-energy Ginzburg-Landau models: Zero-energy states. Ann. Sc. Norm. Sup. Pisa (to appear).
  18. J.-L. Lions and J. Peetre, Sur une classe d'espaces d'interpolation. Inst. Hautes Études Sci. Publ. Math. 19 (1964) 5-68. [CrossRef]
  19. P.L. Lions, Régularité optimale des moyennes en vitesse. C. R. Acad. Sci. Sér. I Math. 320 (1995) 911-915.
  20. P.L. Lions, B. Perthame and E. Tadmor, A kinetic formulation of multidimensional scalar conservation laws and related questions. J. Amer. Math. Soc. 7 (1994) 169-191. [CrossRef] [MathSciNet]
  21. P.L. Lions, B. Perthame and E. Tadmor, Kinetic formulation of the isentropic gas dynamics and p-systems. Comm. Math. Phys. 163 (1994) 415-431. [CrossRef] [MathSciNet]
  22. O.A. OleFormula nik, On Cauchy's problem for nonlinear equations in a class of discontinuous functions. Doklady Akad. Nauk SSSR (N.S.) 95 (1954) 451-454. [MathSciNet]
  23. B. Perthame, Kinetic Formulations of conservation laws. Oxford University Press, Oxford Ser. in Math. and Its Appl. (2002).
  24. B. Perthame and P.E. Souganidis, A limiting case for velocity averaging. Ann. Sci. École Norm. Sup. (4) 31 (1998) 591-598.
  25. M. Porthileiro, Compactness of velocity averages. Preprint.
  26. T. Rivière and S. Serfaty, Compactness, kinetic formulation, and entropies for a problem related to micromagnetics. Preprint (2001).
  27. A. Vasseur, Time regularity for the system of isentropic gas dynamics with γ = 3. Comm. Partial Differential Equations 24 (1999) 1987-1997. [CrossRef] [MathSciNet]
  28. M. Westdickenberg, some new velocity averaging results. SIAM J. Math. Anal. (to appear).
  29. C. Cheverry, Regularizing effects for multidimensional scalar conservation laws. Ann. Inst. H. Poincaré Anal. Non Linéaire 17 (2000) 413-472. [CrossRef] [MathSciNet]

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.