Linear Goursat problems for entire functions when the coefficients are variable

 Access to full text

 Full (PDF)

1. [1] Friedman, A., A new proof and generalization of the Cauchy-Kowalevski theorem. Trans. Am. Math. Soc.98, 1-20 (1961). Zbl0117.31002MR166462
2. [2] Gårding, L., Une variante de la méthode de majoration de Cauchy. Acta. Math.114, 143-158 (1965). Zbl0156.32601MR176221
3. [3] Hörmander, L., Linear partial differential operators. Berlin, Springer, 1963. Zbl0108.09301MR404822
4. [4] Kowalevsky, S. von, Zur Theorie der partiellen Differentialgleichungen. J. r. ang. Math.80, 1-32 (1875). Zbl07.0201.01JFM07.0201.01
5. [5] Lednev, N.A., A new method for solving partial differential equations. Mat. Sbornik22 (64), 205-264 (1948). (Russian). Zbl0030.25404MR27117
6. [6] Persson, J., A boundary problem for analytic linear systems with data on intersecting hyperplanes. Math. Scand.14, 106-110 (1964). Zbl0156.32501MR170107
7. [7] Persson, J., A. note on formal and analytic Caacchy problems for systems with constant coefficients. Math. Scand.15, 142-146 (1964). Zbl0158.10904MR186834
8. [8] Persson, J., New proofs and generalizations of two theorems by Lednew for Goursat problems. Math. Ann.178, 184-208 (1968). Zbl0159.14701MR274929
9. [9] Persbon, J., Global and locat linear Goursat problelms. Thesis, Part II, Lund, 1967. 
10. [10] Persson, J., Exponential majorization and global Goursat problems. Math. Ann.178, 271-276 (1968). Zbl0159.14702MR274930
11. [11] Persson, J., Exponential majorization applied to a non-linear Cauchy (Goursat) problem. Ann. Mat. pur. appl. (IV) LXXVIII, 259-268 (1968). Zbl0159.14603MR228814
12. [12] Persson, J., An existence theorem for a general Goursat problem. To appear in J. Diff. Eq. Zbl0174.14601MR235283
13. [13] Persson, J., Non-characteristic Cauchy problems and generalized Goursat problems in Rn. To appear in J. Math. and Mech. Zbl0183.10504MR241819
14. [14] Rosenbloom, P.C., The majorant method. Proo. Symp. Pure Math. vol. IV. Zbl0178.44801MR145178
15. Partial differential equations. AMS, Providence, R. I., 1961. 
16. [15] Talenti, G., Sul problema di Cauchy per le equazioni a derivate parziali. Ann. Mat. pur. appl.LXVII, 365-394 (1965). Zbl0154.11001MR180741
17. [16] Treves, F., Linear partial differential equations with constant coefficients. Gordon and Breach, New York, 1966. Zbl0164.40602MR224958

1. Jan Persson, The function classes ${\gamma }_H(\beta ,\delta ,d)$ and global linear Goursat problems
2. Jan Persson, Global linear Goursat problems for functions of Gevrey-Lednev type