On two-dimensional hamiltonian transport equations with Llocp coefficients

M Hauray

Annales de l'I.H.P. Analyse non linéaire (2003)

  • Volume: 20, Issue: 4, page 625-644
  • ISSN: 0294-1449

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Hauray, M. "On two-dimensional hamiltonian transport equations with Llocp coefficients." Annales de l'I.H.P. Analyse non linéaire 20.4 (2003): 625-644. <http://eudml.org/doc/78591>.

@article{Hauray2003,
author = {Hauray, M},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {existence; uniqueness; Hamiltonian transport equation},
language = {eng},
number = {4},
pages = {625-644},
publisher = {Elsevier},
title = {On two-dimensional hamiltonian transport equations with Llocp coefficients},
url = {http://eudml.org/doc/78591},
volume = {20},
year = {2003},
}

TY - JOUR
AU - Hauray, M
TI - On two-dimensional hamiltonian transport equations with Llocp coefficients
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 2003
PB - Elsevier
VL - 20
IS - 4
SP - 625
EP - 644
LA - eng
KW - existence; uniqueness; Hamiltonian transport equation
UR - http://eudml.org/doc/78591
ER -

References

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  1. [1] Adams R.A., Sobolev Spaces, Academic Press, 1975, p. 54. Zbl0314.46030MR450957
  2. [2] Bouchut F., Renormalized solutions to the Vlassov equation with coefficients of bounded variation, Arch. Rat. Mech. Anal.157 (2001) 75-90. Zbl0979.35032MR1822415
  3. [3] Bouchut F., Desvillettes L., On two-dimensional hamiltonian transport equations with continuous coefficients, Differential Integral Equation14 (8) (2001) 1015-1024. Zbl1028.35042MR1827101
  4. [4] DiPerna R.J., Lions P.L., Ordinary differential equations, transport theory and Sobolev spaces, Invent. Math.98 (1989) 511-547. Zbl0696.34049MR1022305
  5. [5] Lions P.L., Sur les équations différentielles ordinaires et les équations de transport, C. R. Acad. Sci. Paris, Série I326 (1998) 833-838. Zbl0919.34028MR1648524
  6. [6] Royden H.L., Real Analysis, The MacMullan Company, 1963, Chapter 14. Zbl0197.03501MR151555
  7. [7] Ziemer W.P., Weakly Differentiable Functions, GTM, Springer-Verlag, 1989, p. 44. Zbl0692.46022MR1014685

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