Degenerated Elliptic Boundary Value Problems for Weak Coupled Systems. Solvability and Maximum Principle

  • B. Paneah
Conference paper
Part of the Operator Theory: Advances and Applications book series (OT, volume 98)


1. The degenerated elliptic boundary value problems for a single equation have been investigated by many mathematicians within the last 30 years and some quite impressive results have been obtained ( [1]). But almost nothing is still known about solvability of such problems for elliptic systems of linear differential equations. Even the simplest systems of such a kind are interesting from this point of view because of their applications.


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  1. 1.
    B. Paneah, Degenerate Elliptic Boundary Value Problems, in Encyclopedia of Mathematical Sciences, 63, Springer-Verlag: Berlin-Heidelberg-New-York, 1993 (162–201).Google Scholar
  2. 2.
    M. Freidlin, Coupled reaction-diffusion equations, The Annals of Probability, 1991, 19 (29–57).MathSciNetzbMATHCrossRefGoogle Scholar
  3. 3.
    M. Protter & H. Weinberger, The Maximum Principles in differential equations, Prentice Hall, 1967.Google Scholar

Copyright information

© Springer Basel AG 1997

Authors and Affiliations

  • B. Paneah
    • 1
  1. 1.Department of Mathematics, TechnionHaifaIsrael

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