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Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

 

 

On the initial value problem for parabolic systems of differential equations


Author: D. G. Aronson
Journal: Bull. Amer. Math. Soc. 65 (1959), 310-318
DOI: https://doi.org/10.1090/S0002-9904-1959-10335-9
MathSciNet review: 0113047
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  • 4. S. D. Èĭdel′man, Fundamental matrices of the solutions of general parabolic systems., Dokl. Akad. Nauk SSSR 120 (1958), 980–983 (Russian). MR 0101405
  • 5. E. Hopf, Über dem funktionalen, insbesondere dem analytischen Charaktur der Losungen elliptischen Differentialgleichungen zweiter Orderung, Math. Z. vol. 34 (1931) pp. 194-233.
  • 6. I. G. Petrovskiĭ, Über das Cauchysche Problem für ein System linearen partialler Differentialgleichungen in Gebiete der nichtanalytischen Funktionen, Bull. Univ. d'Etat Moscou, 1A no. 7 (1938) pp. 1-74.
  • 7. P. C. Rosenbloom, Linear partial differential equations, Surveys in Applied Mathematics, V (Midwest Research Institute Series), New York, Wiley, 1958, pp. 42-204.
  • 8. L. N. Slobodeckiĭ, The fundamental solution and the Cauchy problem for a parabolic system., Mat. Sb. (N.S.) 46 (88) (1958), 229–258 (Russian). MR 0109947


Additional Information

DOI: https://doi.org/10.1090/S0002-9904-1959-10335-9