Removable singularities of solutions of nonlinear singular partial differential equations
Banach Center Publications (1996)
- Volume: 33, Issue: 1, page 395-399
- ISSN: 0137-6934
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topTahara, Hidetoshi. "Removable singularities of solutions of nonlinear singular partial differential equations." Banach Center Publications 33.1 (1996): 395-399. <http://eudml.org/doc/262719>.
@article{Tahara1996,
abstract = {1. Introduction. The study of singularities has been one of the main subjects of research in partial differential equations. In the case of linear equations the singularities are now pretty well understood; but in the nonlinear case there seems to be still very few studies. In this paper I want to discuss the singularities of solutions of a class of nonlinear singular partial differential equations in the complex domain. The class is only a model, but it helps one understand that the situation in the nonlinear case is more complicated than in the linear case.},
author = {Tahara, Hidetoshi},
journal = {Banach Center Publications},
language = {eng},
number = {1},
pages = {395-399},
title = {Removable singularities of solutions of nonlinear singular partial differential equations},
url = {http://eudml.org/doc/262719},
volume = {33},
year = {1996},
}
TY - JOUR
AU - Tahara, Hidetoshi
TI - Removable singularities of solutions of nonlinear singular partial differential equations
JO - Banach Center Publications
PY - 1996
VL - 33
IS - 1
SP - 395
EP - 399
AB - 1. Introduction. The study of singularities has been one of the main subjects of research in partial differential equations. In the case of linear equations the singularities are now pretty well understood; but in the nonlinear case there seems to be still very few studies. In this paper I want to discuss the singularities of solutions of a class of nonlinear singular partial differential equations in the complex domain. The class is only a model, but it helps one understand that the situation in the nonlinear case is more complicated than in the linear case.
LA - eng
UR - http://eudml.org/doc/262719
ER -
References
top- [1] R. Gérard and H. Tahara, Holomorphic and singular solutions of nonlinear singular first order partial differential equations, Publ. RIMS, Kyoto Univ. 26 (1990), 979-1000. Zbl0736.35022
- [2] R. Gérard and H. Tahara, Solutions holomorphes et singulières d'équations aux dérivées partielles singulières non linéaires, Publ. RIMS, Kyoto Univ. 29 (1993), 121-151.
- [3] R. Gérard and H. Tahara, Formal, holomorphic and singular solutions of nonlinear singular partial differential equations, to appear. Zbl0805.35015
- [4] T. Ishii, On propagation of regular singularities for nonlinear partial differential equations, J. Fac. Sci. Univ. Tokyo 37 (1990), 377-424. Zbl0734.35019
- [5] H. Tahara, Fuchsian type equations and Fuchsian hyperbolic equations, Japan. J. Math. 5 (1979), 245-347. Zbl0431.35004
- [6] H. Tahara, Fundamental systems of analytic solutions of Fuchsian type partial differential equations, Funk. Ekvac. 24 (1981), 135-140. Zbl0482.35002
- [7] H. Tahara, Uniqueness of the solution of nonlinear singular partial differential equations, J. Math. Soc. Japan 48 (1996), to appear. Zbl0885.35002
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