On local solvability of equations of quasi-principal type
Sbornik. Mathematics, Tome 26 (1975) no. 4, pp. 458-470
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The question of local solvability for a certain class of partial differential equations is considered. For this class a local parametrix is constructed , the points of singularity of the corresponding kernel of the integral operator are indicated, and the boundedness of the operator realizing the parametrix is demonstrated. Local solvability is then established on the basis of these results.
Bibliography: 12 titles.
@article{SM_1975_26_4_a2,
author = {N. A. Shananin},
title = {On local solvability of equations of quasi-principal type},
journal = {Sbornik. Mathematics},
pages = {458--470},
publisher = {mathdoc},
volume = {26},
number = {4},
year = {1975},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1975_26_4_a2/}
}
N. A. Shananin. On local solvability of equations of quasi-principal type. Sbornik. Mathematics, Tome 26 (1975) no. 4, pp. 458-470. http://geodesic.mathdoc.fr/item/SM_1975_26_4_a2/