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Nagoya Mathematical Journal

On some degenerate parabolic equations. II

Tadato Matsuzawa
Source: Nagoya Math. J. Volume 52 (1973), 61-84.
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Permanent link to this document: http://projecteuclid.org/euclid.nmj/1118794878
Mathematical Reviews number (MathSciNet): MR0333451
Zentralblatt MATH identifier: 0287.35051

References

[1] Bodanko, W.Sur le probleme de Cauchy et les problemes de Fourier pour les equations paraboliques dans un domaine non borne, Ann. Polon. Math., 18 (1966), 79-94.
Mathematical Reviews (MathSciNet): MR0197998
Zentralblatt MATH: 0139.05504
[2] Friedman, A.Partial differential equations of parabolic type, Prentice-Hall (1964).
Mathematical Reviews (MathSciNet): MR0181836
[3] Hrmander, L. Pseudo-differential operators and hypoelliptie equations, Amer. Math. Soc. Symp. Pure Math. 10 (1966), Singular integral operators, 138-183.
Mathematical Reviews (MathSciNet): MR0383152
[4] Hrmander, L. Fourier integral operators, I, Acta Math., 127 (1971), 79-783.
Mathematical Reviews (MathSciNet): MR0388463
Zentralblatt MATH: 0235.47024
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Digital Object Identifier: doi:10.1007/BF02392052
[5] Hrmander, L. Hypoelliptie second order differential equations, Acta Math., 119 (1968), 147-171.
Mathematical Reviews (MathSciNet): MR222474
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Digital Object Identifier: doi:10.1007/BF02392081
[6] Igari, K. Degenerate parabolic differential equations, to appear.
Mathematical Reviews (MathSciNet): MR0348268
Zentralblatt MATH: 0282.35048
Digital Object Identifier: doi:10.2977/prims/1195192569
[7] Kato, Y.The hypoellipticity of degenerate parabolic differential operators, J. Functional Analysis, Vol. 7, No. 1 (1971), 116-131.
Mathematical Reviews (MathSciNet): MR0412582
Zentralblatt MATH: 0206.39302
Digital Object Identifier: doi:10.1016/0022-1236(71)90047-4
[8] Matsuzawa, T.On some degenerate parabolic equations I, Nagoya Math. J. Vol. 51 (1973), 57-77.
Mathematical Reviews (MathSciNet): MR0333450
Zentralblatt MATH: 0276.35024
Project Euclid: euclid.nmj/1118794786
[9] Mizohata, S. Hypoellipticite des equations paraboliques, Bull. Soc. Math.France, 85 (1957), 15-50.
Mathematical Reviews (MathSciNet): MR0096899
[10] Nirenberg, L. and Treves, F. On local solvability of linear partial differential equations, Part I Necessary conditions. Comm.Pure Appl. Math., Vol. 23 (1970), 1-38.
Mathematical Reviews (MathSciNet): MR0264470
Zentralblatt MATH: 0221.35001
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Digital Object Identifier: doi:10.1002/cpa.3160230102
[11] Oleinik, 0. A. On the smoothness of the solutions of degenerate elliptic and para- bolic equations, Sov. Math. Dokl., 6 (1965), 972-976.
[12] Oleinik, 0. A. Linear equations of second order with non-negative form, Math.USSR-Sb., 69 (1966), 111-140 (in Russian). Amer. Math. Soc. Translation, 167-199.
Mathematical Reviews (MathSciNet): MR0193383
[13] Treves, F. A new method of proof of the subelliptic estimates, Comm. Pure Appl. Math., Vol. 24 (1971), 71-115.
Mathematical Reviews (MathSciNet): MR0290201
Zentralblatt MATH: 0206.11401
Digital Object Identifier: doi:10.1002/cpa.3160240107
[14] Treves, F. Analytic-hypoelliptic partial differential equations of principal type, Comm. Pure Appl. Math., 24 (1971), 537-570.
Mathematical Reviews (MathSciNet): MR0296509
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Digital Object Identifier: doi:10.1002/cpa.3160240407
[15] Schwartz, L. Theorie des distributions, Vol. 1, Hermann, Paris (1957). Department of Mathematics Nagoya University
Mathematical Reviews (MathSciNet): MR0209834

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