On the well posedness of a system of balance laws with L ∞ data

Marta Lewicka

Rendiconti del Seminario Matematico della Università di Padova (1999)

  • Volume: 102, page 319-340
  • ISSN: 0041-8994

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Lewicka, Marta. "On the well posedness of a system of balance laws with $L^\infty $ data." Rendiconti del Seminario Matematico della Università di Padova 102 (1999): 319-340. <http://eudml.org/doc/108509>.

@article{Lewicka1999,
author = {Lewicka, Marta},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {strict convexity; strict hyperbolicity},
language = {eng},
pages = {319-340},
publisher = {Seminario Matematico of the University of Padua},
title = {On the well posedness of a system of balance laws with $L^\infty $ data},
url = {http://eudml.org/doc/108509},
volume = {102},
year = {1999},
}

TY - JOUR
AU - Lewicka, Marta
TI - On the well posedness of a system of balance laws with $L^\infty $ data
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1999
PB - Seminario Matematico of the University of Padua
VL - 102
SP - 319
EP - 340
LA - eng
KW - strict convexity; strict hyperbolicity
UR - http://eudml.org/doc/108509
ER -

References

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  1. [1] A. Bressan, Lecture Notes on Systems of Conservation Laws, SISSA, Trieste (1997). 
  2. [2] A. Bressan, Unique solutions for a class of discontinuous differential equations, Proc. Amer. Math. Soc., 104 (1988), pp. 772-778. Zbl0692.34004MR964856
  3. [3] A. Bressan - W. Shen, Uniqueness for discontinuous O.D.E. and conservation laws, Nonlinear Analysis, 34 (1998), pp. 637-652. Zbl0948.34006MR1634652
  4. [4] M.G. Crandall, The semigroup approach to first order quasilinear equations in several space variables, Israel J. Math., 12 (1972), pp. 108-132. Zbl0246.35018MR316925
  5. [5] C. Dafermos, Generalized characteristics and the structure of solutions of hyperbolic conservation laws, Indiana Univ. Math. J., 26 (1977), pp. 1097-1119. Zbl0377.35051MR457947
  6. [6] A.F. Filippov, Differential Equations with Discontinuous Right Hand Sides, Kluwer Acad. Publ. (1988). Zbl0664.34001
  7. [7] S. Kruzkov, First order quasilinear equations with several space variables, Math. USSR Sbornik, 10 (1970), pp. 217-243. Zbl0215.16203
  8. [8] O. Oleinik, Discontinuous solutions of nonlinear differential equations, Usp, Mat. Nauk.(N.S.), 12 (1957), pp. 3-73. Zbl0131.31803MR94541
  9. [9] B.L. Rozdesvenskii - N. Yanenko, Systems of Quasilinear Equations and Their Applications to Gas Dynamics., A.M.S. Translations of Mathematical Monographs55, Providence (1983). Zbl0513.35002MR694243

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