Mathematische Zeitschrift

, Volume 171, Issue 1, pp 83–90 | Cite as

Counterexamples for uniqueness in strongly coupled parabolic systems

  • Ray Redheffer
  • Wolfgang Walter
Article
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Keywords

Parabolic System 
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References

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    Nickel, K.: Fehlerschranken und Eindeutigkeitsaussagen für die Lösungen nichtlinearer, stark gekoppelter parabolischer Differentialgleichungen. Math. Z.152, 33–34 (1976)Google Scholar
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    Nickel, K.: The lemma of Max Müller-Nagumo-Westphal for strongly coupled systems of parabolic functional differential equations. MRC Report 800. Madison: University of Wisconsin 1977Google Scholar
  3. 3.
    Redheffer, R., Walter, W.: Stability of the null solution of parabolic functional inequalities. PreprintGoogle Scholar
  4. 4.
    Redheffer, R., Walter, W.: The Total Variation of Solutions of Parabolic Differential Equations and a Maximum Principle in Unbounded Domains. Math. Ann.209, 57–67 (1974)Google Scholar
  5. 5.
    Szarski, J.: Differential inequalities. Monographie Matematyczne43. Warszawa: Polska Akademia Nauk 1965Google Scholar
  6. 6.
    Walter, W.: Differential and integral inequalities. Ergebnisse der Mathematik und ihrer Grenzgebiete55, Berlin-Heidelberg-New York: Springer 1970Google Scholar

Copyright information

© Springer-Verlag 1980

Authors and Affiliations

  • Ray Redheffer
    • 1
  • Wolfgang Walter
    • 2
  1. 1.Department of MathematicsUniversity of CaliforniaLos AngelesUSA
  2. 2.Mathematisches Institut IUniversität KarlsruheKarlsruheGermany

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