Existence, uniqueness and regularity for Kruzkov's solutions of the Burger-Carleman's system

Vincent Caselles; Charbel Klaiany

Annales de la Faculté des sciences de Toulouse : Mathématiques (1989)

  • Volume: 10, Issue: 1, page 93-104
  • ISSN: 0240-2963

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Caselles, Vincent, and Klaiany, Charbel. "Existence, uniqueness and regularity for Kruzkov's solutions of the Burger-Carleman's system." Annales de la Faculté des sciences de Toulouse : Mathématiques 10.1 (1989): 93-104. <http://eudml.org/doc/73228>.

@article{Caselles1989,
author = {Caselles, Vincent, Klaiany, Charbel},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {existence; uniqueness; Burger-Carleman's system; Cauchy problem},
language = {eng},
number = {1},
pages = {93-104},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Existence, uniqueness and regularity for Kruzkov's solutions of the Burger-Carleman's system},
url = {http://eudml.org/doc/73228},
volume = {10},
year = {1989},
}

TY - JOUR
AU - Caselles, Vincent
AU - Klaiany, Charbel
TI - Existence, uniqueness and regularity for Kruzkov's solutions of the Burger-Carleman's system
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1989
PB - UNIVERSITE PAUL SABATIER
VL - 10
IS - 1
SP - 93
EP - 104
LA - eng
KW - existence; uniqueness; Burger-Carleman's system; Cauchy problem
UR - http://eudml.org/doc/73228
ER -

References

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  1. [1] Benilan ( Ph.). — Equations d'évolution dans un espace de Banach quelconque et applications.. — Thesis, Univ. Paris XI, Orsay, 1972. 
  2. [2] Benilan ( Ph.), Crandall ( M.G.). — Regularizing effects for homogeneous evolution equations. Amer. J. Math. Supplement dedicated to P. HARTMAN 1981, p. 23-29. Zbl0556.35067MR648452
  3. [3] Benilan ( Ph.), Crandall ( M.G.), Pazy ( A.). — Revolution equations governed accretive operators. - (forthcoming book). 
  4. [4] Brezis ( H.). - Operateurs maximaux monotones. — North Holland. Math. Studies5, 1973. Zbl0252.47055MR348562
  5. [5] Brezis ( H.), Haraux ( A.).— Image d'une somme d'opérateurs monotones et applications., Israel J. Math., t. 23, 1976, p. 165-186. Zbl0323.47041MR399965
  6. [6] Crandall ( M.G.). - The semigroup approach to first order quasilinear equations in several space variables, Israel J. Math., t. 12, 1972, p. 108-132. Zbl0246.35018MR316925
  7. [7] Crandall ( M.G.), Liggett ( T.M.).- Generation of semigroups of nonlinear transformations on general Banach spaces, Amer. J. Math., t. 93, 1971, p. 265-298. Zbl0226.47038MR287357
  8. [8] Kruzkov ( S.N.).— First order quasillinear equations in several space variables., Math. USSR - 56, t. 10, 1970, p. 217-243. Zbl0215.16203
  9. [9] Liu ( T.P.), Pierre ( M.). — Source solutions and assymptotic behavior in conservation laws, J. Diff. Eq., t. 51, 1984, p. 419-441. Zbl0545.35057MR735207
  10. [10] Pierre ( M.). — Generation et perturbations de semigroupes de contractions non lineaires. These 3°cycle, Univ. Paris VI, 1976. 

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