Microhypoellipticity for a class of pseudodifferential operators with double characteristics

1 Fedii, V. S. On a criterion for hypoellipticity Math. USSR Sb. 14 1971 15-45 MR0287160 Cache/Fe/Fedii,hypoellipticity,Math*,1971,1972

2 Fefferman, C.; Phong, D. H. On positivity of pseudo-differential operators Proc. Nat. Acad. Sci. 75 1978 4673-4674 MR0507931

3 Hörmander, L. Hypoelliptic second order differential equations Acta Math. 119 1967 147-171 MR0222474 100 Cache/Ho/Hörmander,Hypoelliptic,Acta*,1967,1968

4 Hörmander, L. The Analysis of Linear Partial Differential Operators III Springer, Berlin- Heidelberg-New York-Tokyo 1985 MR0781536 100 Cache/Ho/Hörmander,Analysis,*,1985,1986 viii+525

5 Hoshiro, T. Hypoellipticity for infinitely degenerate elliptic and parabolic operators of second order J. Math. Kyoto Univ. 28 1988 615-632 MR0981097 100 Cache/Ho/Hoshiro,Hypoellipticity,J*,1988,1989

6 Hoshiro, T. Hypoellipticity for infinitely degenerate elliptic and parabolic operators II, operators of higher order J. Math. Kyoto Univ. 29 1989 497-513 MR1021151 100 Cache/Ho/Hoshiro,Hypoellipticity,J*,1989,1990

7 Hoshiro, T. On hypoellipticity for a certain operator with double characteristic J. Math. Soc. Japan 43 1991 593-603 MR1111604 100 Cache/Ho/Hoshiro,hypoellipticity,J*,1991,1992

8 Hoshiro, T. On Levi-type conditions for hypoellipticity of certain differential operators Comm. in Partial Differential Equations 17 1992 905-922 MR1177297 100 Cache/Ho/Hoshiro,hypoellipticity,Comm*,1992,1993

9 Kajitani, K.; Wakabayashi, S. Hypoelliptic operators in Gevrey classes Pitman Research Notes in Math. 183 1988 115-134 MR0984364 Cache/Ka/Kajitani,Hypoelliptic,*,1988,1989

10 Kajitani, K.; Wakabayashi, S. Propagation of singularities for several classes of pseudodifferential operators Bull. Sc. math. 2 serie 2 115 1991 397-449 MR1138553 100 Cache/Ka/Kajitani,pseudodifferential,Bull*,1991,1992

11 Koike, M., A note on hypoellipticity of degenerate elliptic operators, to appear MR1145673

12 Kusuoka, S.; Strook, D. Applications of Malliavin calculus, part II J. Fac. Sci. Univ. Tokyo Sect. IA, Math. 32 1985 1-76 MR0783181 83 Cache/Ku/Kusuoka,Applications,J*,1985,1986

13 Melin, A. Lower bounds for pseudo-differential operators Ark. Mat. 9 1971 117-140 MR0328393 100 Cache/Me/Melin,pseudo-differential,Ark*,1971,1972

14 Morimoto, Y. Hypoellipticity for infinitely degenerate elliptic operators Osaka J. Math. 24 1987 13-35 MR0881744 100 Cache/Mo/Morimoto,Hypoellipticity,Osaka*,1987,1988

15 Morimoto, Y. A criterion for hypoellipticity of second order differential operators Osaka J. Math. 24 1987 651-675 MR0923880 100 Cache/Mo/Morimoto,hypoellipticity,Osaka*,1987,1988

16 Morimoto, Y. Hypoelliptic operators in $R^3$ of the form $X^2_1+X^2_2$ J. Math. Kyoto Univ. 32 1992 461-484 MR1183362 Cache/Mo/Morimoto,X^2_1+X^2_2,J*,1992,1993

17 Morimoto, Y. Estimates for degenerate Schrödinger operators and hypoellipticity for infinitely degenerate elliptic operators J. Math. Kyoto Univ. 32 1992 333-372 MR1173969 100 Cache/Mo/Morimoto,hypoellipticity,J*,1992,1993

18 Morioka, T. Hypoellipticity for some infinitely degenerate elliptic operators of second order J. Math. Kyoto Univ. 32 1992 373-386 MR1173970 100 Cache/Mo/Morioka,Hypoellipticity,J*,1992,1993

19 Olejnik, O. A.; Radkevic, E. V. Second Order Equations with Nonnegative Characteristic Form Plenum Press, New York-London 1973 MR0457908 Cache/Ol/Olejnik,Non-negative,*,1973,1974

20 Suzuki, M. Hypoellipticity for a class of degenerate elliptic operators of second order Tsukuba J. Math. 16 1992 217-234 MR1178677 100 Cache/Su/Suzuki,Hypoellipticity,Tsukuba*,1992,1993