Linear Goursat problems for entire functions when the coefficients are variable

Jan Persson

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1969)

  • Volume: 23, Issue: 1, page 87-98
  • ISSN: 0391-173X

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Persson, Jan. "Linear Goursat problems for entire functions when the coefficients are variable." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 23.1 (1969): 87-98. <http://eudml.org/doc/83485>.

@article{Persson1969,
author = {Persson, Jan},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {partial differential equations},
language = {eng},
number = {1},
pages = {87-98},
publisher = {Scuola normale superiore},
title = {Linear Goursat problems for entire functions when the coefficients are variable},
url = {http://eudml.org/doc/83485},
volume = {23},
year = {1969},
}

TY - JOUR
AU - Persson, Jan
TI - Linear Goursat problems for entire functions when the coefficients are variable
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1969
PB - Scuola normale superiore
VL - 23
IS - 1
SP - 87
EP - 98
LA - eng
KW - partial differential equations
UR - http://eudml.org/doc/83485
ER -

References

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  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

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