Hypoelliptic second order differential equations

Lars Hörmander1
1The Institute for Advanced Study

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Tài liệu tham khảo

Hochschild, G.,The structure of Lie groups. Holden—Day Inc., San Francisco, London, Amsterdam, 1965.

Hörmander, L., Pseudo-differential operators and hypoelliptic equations. To appear inAmer. Math. Soc. Proc. Symp. Pure Math., 10 (1967).

,Linear partial differential operators. Springer-Verlag, Berlin-Göttingen-Heidelberg, 1963.

Il'in, A. M., On a class of ultraparabolic equations. (Russian.)Doklady Akad. Nauk SSSR, 159 (1964), 1214–1217. Also inSoviet Math. Dokl., 5 (1964), 1673–1676.

Kohn, J. J., Boundaries of complex manifolds.Proc. Conf. Complex Analysis (Minneapolis 1964) 81–94. Springer Verlag, Berlin, 1965.

Kohn, J. J. &Nirenberg, L., Non coercive boundary value problems.Comm. Pure Appl. Math. 18 (1965), 443–492.

Kohn, J. J. & Nirenberg, L., Degenerate elliptic-parabolic equations of second order. To appear inComm. Pure Appl. Math.

Kolmogorov, A. N., Zufällige Bewegungen,Ann. of Math. (2), 35 (1934), 116–117.

Nirenberg, L. &Trèves, F., Solvability of a first order linear partial differential equation.Comm. Pure Appl. Math., 16 (1963), 331–351.

Olejnik, O. A., Linear second order equations with non-negative characteristic form. (Russian.)Mat. Sb., 69 (1966), 111–140.

Weber, M., The fundamental solution of a degenerate partial differential equation of parabolic type.Trans. Amer. Math. Soc., 71 (1951), 24–37.