An ill posed Cauchy problem for a hyperbolic system in two space dimensions

Alberto Bressan

Rendiconti del Seminario Matematico della Università di Padova (2003)

  • Volume: 110, page 103-117
  • ISSN: 0041-8994

How to cite

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Bressan, Alberto. "An ill posed Cauchy problem for a hyperbolic system in two space dimensions." Rendiconti del Seminario Matematico della Università di Padova 110 (2003): 103-117. <http://eudml.org/doc/108609>.

@article{Bressan2003,
author = {Bressan, Alberto},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
language = {eng},
pages = {103-117},
publisher = {Seminario Matematico of the University of Padua},
title = {An ill posed Cauchy problem for a hyperbolic system in two space dimensions},
url = {http://eudml.org/doc/108609},
volume = {110},
year = {2003},
}

TY - JOUR
AU - Bressan, Alberto
TI - An ill posed Cauchy problem for a hyperbolic system in two space dimensions
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2003
PB - Seminario Matematico of the University of Padua
VL - 110
SP - 103
EP - 117
LA - eng
UR - http://eudml.org/doc/108609
ER -

References

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  1. [1] A. BRESSAN, Hyperbolic Systems of Conservation Laws. The One Dimensional Cauchy Problem, Oxford University Press, 2000. Zbl0997.35002MR1816648
  2. [2] C. DAFERMOS, Hyperbolic Conservation Laws in Continuum Physics, Springer-Verlag, Berlin 1999. Zbl0940.35002MR1763936
  3. [3] R. DIPERNA - P. L. LIONS, Ordinary differential equations, transport theory and Sobolev spaces, Invent. Math., 98 (1989), pp. 511-517. Zbl0696.34049MR1022305
  4. [4] S. KRUZHKOV, First-order quasilinear equations with several space variables, Math. USSR Sbornik, 10 (1970), pp. 217-273. Zbl0215.16203
  5. [5] E. Y. PANOV, On the theory of generalized entropy solutions of the Cauchy problem for a class of non-strictly hyperbolic systems of conservation laws, Sbornik: Mathematics, 191 (2000), pp. 121-150. Zbl0954.35107MR1753495
  6. [6] D. SERRE, Systems of Conservation Laws I, II, Cambridge University Press, 2000. Zbl0936.35001MR1775057

Citations in EuDML Documents

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  1. Alberto Bressan, A lemma and a conjecture on the cost of rearrangements
  2. Luigi Ambrosio, Transport equation and Cauchy problem for B V vector fields and applications
  3. Luigi Ambrosio, Problema di trasporto e equazione di Cauchy per campi vettoriali a variazione limitata
  4. Luigi Ambrosio, Gianluca Crippa, Stefania Maniglia, Traces and fine properties of a B D class of vector fields and applications
  5. Alberto Bressan, Some remarks on multidimensional systems of conservation laws

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