Solutions in the large for multi-dimensional non linear partial differential equations of first order

Avron Douglis

Annales de l'institut Fourier (1965)

  • Volume: 15, Issue: 2, page 1-35
  • ISSN: 0373-0956

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Douglis, Avron. "Solutions in the large for multi-dimensional non linear partial differential equations of first order." Annales de l'institut Fourier 15.2 (1965): 1-35. <http://eudml.org/doc/73873>.

@article{Douglis1965,
author = {Douglis, Avron},
journal = {Annales de l'institut Fourier},
keywords = {partial differential equations},
language = {eng},
number = {2},
pages = {1-35},
publisher = {Association des Annales de l'Institut Fourier},
title = {Solutions in the large for multi-dimensional non linear partial differential equations of first order},
url = {http://eudml.org/doc/73873},
volume = {15},
year = {1965},
}

TY - JOUR
AU - Douglis, Avron
TI - Solutions in the large for multi-dimensional non linear partial differential equations of first order
JO - Annales de l'institut Fourier
PY - 1965
PB - Association des Annales de l'Institut Fourier
VL - 15
IS - 2
SP - 1
EP - 35
LA - eng
KW - partial differential equations
UR - http://eudml.org/doc/73873
ER -

References

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  1. [1] A. DOUGLIS, On discontinuous initial value problems for certain non-linear partial differential equations, Tech. Note BN-119, AFOSR-TN-58-165, AD-152 192, Univ. of Md., Feb., 1958, 1-25. Zbl0128.32306
  2. [2] A. DOUGLIS, On calculating weak solutions of quasi-linear, first-order partial differential equations, Contributions to Differential Equations, 1 (1963), 59-94. Zbl0196.50105
  3. [3] P. D. LAX, Weak solutions of non-linear hyperbolic equations and their numerical computation, Comm. Pure Appl. Math., 7 (1954), 159-193. Zbl0055.19404
  4. [4] O. A. OLEINIK, Discontinuous solutions of non linear differential equations, Uspekhi Mat. Nauk, 12 (1957), 3-73. Zbl0131.31803
  5. [5] C. PUCCI, Compatezza di successioni di funzioni e derivibilita delle funzioni limiti, Ann. Mat. Pura ed Appl., 4 (1954), 1-25. Zbl0058.28604
  6. [6] B. L. ROZHDESTVENSKII, Discontinuous solutions of hyperbolic systems of quasi-linear equations, Uspekhi Mat. Nauk, 15 (1960),n° 6 (96), 59-117 (Russian), translated as Russian Math. Surveys, 15 (1960),n° 6, 53-111. Zbl0098.29504
  7. [7] N. D. VVEDENSKAYA, The difference method solution of Cauchy's problem for a non-linear equation with discontinuous initial values, Doklady Akad. Nauk SSSR, 111 (1956), 517-521. Zbl0072.09901

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