Skip to main content

Part of the book series: Mathematische Leitfäden ((MLF))

  • 104 Accesses

Abstract

Our starting position here is much less favorable than in the previous cases, since we do not know yet which posing of the problem will be reasonable. However, a uniqueness theorem, which will work with as few assumptions as possible, already makes an essential contribution toward clearing up these questions.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 49.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 49.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. E. Hopf, Sitz. Preuss. Akad. Wiss. Berlin 19, 147–152 (1927).

    Google Scholar 

  2. E. Hopf, Proc. Am. Math. Soc. 3, 791–793 (1952).

    Article  MathSciNet  MATH  Google Scholar 

  3. O. Perron, Math. Z. 18, 42–54 (1923).

    Article  MathSciNet  MATH  Google Scholar 

  4. I. G. Petrovsky, Lectures on Partial Differential Equations (New York: Interscience Publishers, Inc.), 1954.

    MATH  Google Scholar 

  5. R. Remak, Math. Z. 20, 126–130 (1924).

    Article  MathSciNet  MATH  Google Scholar 

  6. G. Tautz, Math. Ann. 118, 733–770 (1943).

    Article  MathSciNet  MATH  Google Scholar 

  7. N. Simonoff, Bull. Math. Univ. Moscow 2, No. 1 (1933).

    Google Scholar 

  8. C. Miranda, Equazioni alle derivate parziali di tipo ellittico (Berlin: Springer Verlag), 1955.

    MATH  Google Scholar 

  9. L. Nirenberg, Transactions of the Symposium on Partial Differential Equations (Berkeley, California, 1955) (New York: Interscience Publishers, Inc.), 1956, pp. 211–232.

    Google Scholar 

  10. O. D. Kellogg, Trans. Am. Math. Soc. 33, 486–510 (1931).

    Article  MathSciNet  Google Scholar 

  11. W. Sternberg, Math. Ann. 101, 394–398 (1929).

    Article  MathSciNet  MATH  Google Scholar 

  12. E. Kamke, Jahresber. Deut. Math. Ver. 62, 1–33. (1959).

    MathSciNet  MATH  Google Scholar 

  13. L. Bieberbagh, Lehrbuch der Differentialgleichungen (Berlin: Springer Verlag), 1930.

    Google Scholar 

  14. K. O. Friedrichs, Commun. Pure Appl. Math. 7, 345–392 (1954).

    Article  MathSciNet  MATH  Google Scholar 

  15. A. Sommerfeld, Jahresber. Deut. Math. Ver. 21, 309–353 (1912).

    MATH  Google Scholar 

  16. F. Relligh, Jahresber. Deut. Math. Ver. 53, 57–65 (1943).

    Google Scholar 

  17. F. Rellich, Eigenwerttheorie partieller Differentialgleichungen, Math. Inst. Univ. Göttingen, 1952–53.

    Google Scholar 

  18. F. I. Frankl, Učn. Zap. Mosk. Gos. Univ. 152, 99–116 (1951).

    MathSciNet  Google Scholar 

  19. G. S. Morawetz, Commun. Pure Appl. Math. 7, 697–703 (1954).

    Article  MathSciNet  MATH  Google Scholar 

  20. M. H. Protter, J. Rat. Mech. Anal. 2, 107–114 (1953).

    MathSciNet  MATH  Google Scholar 

  21. F. Tricomi, Atti Accad. Naz. dei Lincei [5] 14, 133 (1923).

    Google Scholar 

  22. F. Tricomi, Equazioni a derivate par ziali (Rome: Edizioni Cremonese), 1957.

    Google Scholar 

  23. S. Agmon, L. Nirenberg, and M. H. Protter, Commun. Pure Appl. Math. 6, 455–470 (1953).

    Article  MathSciNet  MATH  Google Scholar 

  24. P. Germain and R. Bader, Office Nationale d’Etudes Recherches Aéronautiques No. 54, 1952.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1964 Springer Fachmedien Wiesbaden

About this chapter

Cite this chapter

Hellwig, G. (1964). Mixed Type. In: Partial Differential Equations. Mathematische Leitfäden. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-11002-6_11

Download citation

  • DOI: https://doi.org/10.1007/978-3-663-11002-6_11

  • Publisher Name: Vieweg+Teubner Verlag, Wiesbaden

  • Print ISBN: 978-3-519-12213-5

  • Online ISBN: 978-3-663-11002-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics