Une solution d’une équation différentielle partielle non-linéaire du premier ordre peut espérer avoir des dérivées continues seulement dans un domaine limité, dépendant de la solution elle-même. Des solutions absolument continues satisfaisant l’équation différentielle presque partout n’ont pas besoin cependant d’être similairement limitées, quant au domaine. L’intérêt de cet article est la détermination continue unique de solutions absolument continues par leurs données initiales.
@article{AIF_1965__15_2_1_0, author = {Douglis, Avron}, title = {Solutions in the large for multi-dimensional non linear partial differential equations of first order}, journal = {Annales de l'Institut Fourier}, pages = {1--35}, publisher = {Institut Fourier}, address = {Grenoble}, volume = {15}, number = {2}, year = {1965}, doi = {10.5802/aif.208}, mrnumber = {33 #7686}, zbl = {0137.29001}, language = {en}, url = {http://www.numdam.org/articles/10.5802/aif.208/} }
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 SP - 1 EP - 35 VL - 15 IS - 2 PB - Institut Fourier PP - Grenoble UR - http://www.numdam.org/articles/10.5802/aif.208/ DO - 10.5802/aif.208 LA - en ID - AIF_1965__15_2_1_0 ER -
%0 Journal Article %A Douglis, Avron %T Solutions in the large for multi-dimensional non linear partial differential equations of first order %J Annales de l'Institut Fourier %D 1965 %P 1-35 %V 15 %N 2 %I Institut Fourier %C Grenoble %U http://www.numdam.org/articles/10.5802/aif.208/ %R 10.5802/aif.208 %G en %F AIF_1965__15_2_1_0
Douglis, Avron. Solutions in the large for multi-dimensional non linear partial differential equations of first order. Annales de l'Institut Fourier, Volume 15 (1965) no. 2, pp. 1-35. doi : 10.5802/aif.208. http://www.numdam.org/articles/10.5802/aif.208/
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