Geodesic
On the solubility of differential equations with simple characteristics
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 26 (1971) no. 2, pp. 113-130

Voir la notice de l'article provenant de la source Math-Net.Ru

A survey is given of papers devoted to the problem of the existence of solutions to linear differential and pseudo-differential equations of principal type. The main results in this field are due to Lewy, Hцrmander, Nirenberg, Tréves and the author. We also give a new theorem of maximal generality on local solubility of equations of principal type. By way of illustration to the exposition we mention as examples: the Lewy operator; the operator arising from the solution of the problem with directional derivatives for elliptic second order equations; non-singular operators. 
@article{RM_1971_26_2_a6,
     author = {Yu. V. Egorov},
     title = {On the solubility of differential equations with simple characteristics},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {113--130},
     publisher = {mathdoc},
     volume = {26},
     number = {2},
     year = {1971},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RM_1971_26_2_a6/}
}
TY  - JOUR
AU  - Yu. V. Egorov
TI  - On the solubility of differential equations with simple characteristics
JO  - Trudy Matematicheskogo Instituta imeni V.A. Steklova
PY  - 1971
SP  - 113
EP  - 130
VL  - 26
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/RM_1971_26_2_a6/
LA  - en
ID  - RM_1971_26_2_a6
ER  - 
%0 Journal Article
%A Yu. V. Egorov
%T On the solubility of differential equations with simple characteristics
%J Trudy Matematicheskogo Instituta imeni V.A. Steklova
%D 1971
%P 113-130
%V 26
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/RM_1971_26_2_a6/
%G en
%F RM_1971_26_2_a6
Yu. V. Egorov. On the solubility of differential equations with simple characteristics. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 26 (1971) no. 2, pp. 113-130. http://geodesic.mathdoc.fr/item/RM_1971_26_2_a6/