Some theorems on the singularities of solutions of differential equations with weighted principal symbols
Sbornik. Mathematics, Tome 32 (1977) no. 1, pp. 32-44
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Some theorems are proved on the singularities of solutions of differential equations with weighted principal symbols. Bibliography: 5 titles.
@article{SM_1977_32_1_a2,
author = {V. V. Grushin and N. A. Shananin},
title = {Some theorems on the singularities of solutions of differential equations with weighted principal symbols},
journal = {Sbornik. Mathematics},
pages = {32--44},
year = {1977},
volume = {32},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1977_32_1_a2/}
}
TY - JOUR AU - V. V. Grushin AU - N. A. Shananin TI - Some theorems on the singularities of solutions of differential equations with weighted principal symbols JO - Sbornik. Mathematics PY - 1977 SP - 32 EP - 44 VL - 32 IS - 1 UR - http://geodesic.mathdoc.fr/item/SM_1977_32_1_a2/ LA - en ID - SM_1977_32_1_a2 ER -
V. V. Grushin; N. A. Shananin. Some theorems on the singularities of solutions of differential equations with weighted principal symbols. Sbornik. Mathematics, Tome 32 (1977) no. 1, pp. 32-44. http://geodesic.mathdoc.fr/item/SM_1977_32_1_a2/
[1] L. Hörmander, “Fourier integral operators, I”, Acta Math., 127 (1971), 79–183 | DOI | MR | Zbl
[2] L. Hörmander, “On the existence and the regularity of solutions of linear pseudo-differential equations”, Enzeign. Math., 17 (1971), 99–163 | MR | Zbl
[3] R. Lascar, “Propogation des singularités pour des opérateurs pseudodifferéntiels à partie principale quasi homogéne”, C. r. Acad. scient. Paris, 279(4) (1974), A737–A739 | MR
[4] N. A. Shananin, “O lokalnoi razreshimosti uravnenii kvaziglavnogo tipa”, Matem. sb., 97(141) (1975), 503–516 | Zbl
[5] N. A. Shananin, “Primer lokalno nerazreshimogo differentsialnogo uravneniya kvaziglavnogo tipa s veschestvennym vzveshennym glavnym simvolom”, Matem. zametki, 19:5 (1976), 755–761 | MR | Zbl