Remote Access Bulletin of the American Mathematical Society

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
MathSciNet review: 0113047
Full-text PDF

References | Additional Information

References [Enhancements On Off] (What's this?)

  • 1. D. G. Aronson, The fundamental solution of a linear parabolic equation containing a small parameter, Illinois J. Math. 3 (1959), 580–619. MR 0107758
  • 2. Avron Douglis and Louis Nirenberg, Interior estimates for elliptic systems of partial differential equations, Comm. Pure Appl. Math. 8 (1955), 503–538. MR 0075417
  • 3. S. D. Èĭdel′man, On fundamental solutions of parabolic systems, Mat. Sb. N.S. 38(80) (1956), 51–92 (Russian). MR 0076164
  • 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