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Journées équations aux dérivées partielles
Table des matières de ce volume | Article précédent | Article suivant
L. Cattabriga; L. Zanghirati
Global analytic and Gevrey surjectivity of the Mizohata operator $D_2+ix_2^{2k}D_1$
Journées équations aux dérivées partielles (1989), Exp. No. 15, 4 p.
Article PDF | Analyses Zbl 0697.35028
[1] R.W. Braun - R. Meise - D. Vogt. “Applications of the projiective limit functor to convolution and partial differential equations”, Proceeding of the NATO ASW on “Fréchet spaces”, Istanbul August 1988, D. Reidel Publishing Comp., (to appear). Zbl 0726.46022
[2] L. Cattabriga. “Solutions in Gevrey spaces of partial differential equations with constant coefficients”, Astérisque 89-90 (1981), 129-151. MR 84h:35030 | Zbl 0496.35018
[3] L. Cattabriga. “On the surjectivity of differential polynomials on Gevrey spaces”, Rend. Sem. Mat. Univ. Politec. Torino, Fasc. speciale, Convegno “Linear partial and pseudo-differential operators”, Torino, 30 Sett.-2 Ott. 1982, 41 (1983), 81-89. MR 85f:35046 | Zbl 0561.35008
[4] E.De Giorgi. “Solutions analytiques des équations aux dérivées partielles à coefficients constants”, Séminaire Goulaouic-Schwartz 1971-1972, Equations aux dérivées partielles et analyse fonctionnelle, Exp. N. 29, Ecole Polytech. Centre de Math. Paris 1972.
Cedram | Zbl 0244.35017
[5] E. De Giorgi - L. Cattabriga. “Una dimostrazone diretta dell'esistenza di soluzioni analitiche nel piano reale di equazioni a derivate parziali a coefficienti costanti”, Boll. Un. Mat. Ital. (4) 4 (1971), 1015-1027. MR 52 #3702 | Zbl 0224.35018
[6] L. Ehrenpreis. “Lewy's operator and its ramifications”, J. Funct. Analysis 68 (1986), 329-365. MR 87j:35018 | Zbl 0638.35002
[7] J. Friberg. “Estimates for partially hypoelliptic differential operators”, Medd. Lund Univ. Mat. Sem. 17 (1963), 1-93. MR 28 #349 | Zbl 0139.28403
[8] L. Hörmander. “On the existence of real analytic solutions of partial equations with constant coefficients”, Inventiones Math. 21 (1973), 151-182.
Article | MR 49 #817 | Zbl 0282.35015
[9] L. Hörmander. “The analysis of linear partial differential operators”, Springer-Verlag, (1983), vol. IV. Zbl 0521.35002
[10] T. Kawai, “On the global existence of real analytic solutions of linear differential equations” I and II, J. Math. Soc. Japan 24 (1972), 481-517; 25 (1973), 644-647.
Article | Zbl 0259.35062
[11] T. Kawai, “On the global existence of real analytic solutions and hyperfunction solutions of linear differential equations”, Publ. RIMS Kyoto University 555 (1986). MR 87k:58249 | Zbl 0618.35002
[12] H. Komatsu, “An analogue of the Cauchy-Kowalevsky theorem for ultradifferentiable functions and a division theorem of ultradistributions as its dual”, J. Fac. Sci. Univ. Tokyo, Sec. IA 26 (1979), 239-254. MR 81i:35008 | Zbl 0424.46032
[13] S. Mizohata, «Solutions nulles et solutions non analytiques», J. Math. Kyoto Univ. 1 (1962), 271-302.
Article | MR 26 #440 | Zbl 0106.29601
[14] L. Rodino, “On linear partial differential operators with multiple characteristics”, Proceedings Conf. on partial Differential Equations, Holzhau (GDR), 1988, Teubner Text zur Mathematik. Zbl 0681.35093
[15] G. Zampieri, “An application of the fundamental principle of Ehrenpreis to the existence of global Gevrey solutions of linear differential equations”, Boll. Un. Mat. Ital. (6) V B (1986), 361-392. MR 88a:35044 | Zbl 0624.35011
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