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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
E. Hopf, Sitz. Preuss. Akad. Wiss. Berlin 19, 147–152 (1927).
E. Hopf, Proc. Am. Math. Soc. 3, 791–793 (1952).
O. Perron, Math. Z. 18, 42–54 (1923).
I. G. Petrovsky, Lectures on Partial Differential Equations (New York: Interscience Publishers, Inc.), 1954.
R. Remak, Math. Z. 20, 126–130 (1924).
G. Tautz, Math. Ann. 118, 733–770 (1943).
N. Simonoff, Bull. Math. Univ. Moscow 2, No. 1 (1933).
C. Miranda, Equazioni alle derivate parziali di tipo ellittico (Berlin: Springer Verlag), 1955.
L. Nirenberg, Transactions of the Symposium on Partial Differential Equations (Berkeley, California, 1955) (New York: Interscience Publishers, Inc.), 1956, pp. 211–232.
O. D. Kellogg, Trans. Am. Math. Soc. 33, 486–510 (1931).
W. Sternberg, Math. Ann. 101, 394–398 (1929).
E. Kamke, Jahresber. Deut. Math. Ver. 62, 1–33. (1959).
L. Bieberbagh, Lehrbuch der Differentialgleichungen (Berlin: Springer Verlag), 1930.
K. O. Friedrichs, Commun. Pure Appl. Math. 7, 345–392 (1954).
A. Sommerfeld, Jahresber. Deut. Math. Ver. 21, 309–353 (1912).
F. Relligh, Jahresber. Deut. Math. Ver. 53, 57–65 (1943).
F. Rellich, Eigenwerttheorie partieller Differentialgleichungen, Math. Inst. Univ. Göttingen, 1952–53.
F. I. Frankl, Učn. Zap. Mosk. Gos. Univ. 152, 99–116 (1951).
G. S. Morawetz, Commun. Pure Appl. Math. 7, 697–703 (1954).
M. H. Protter, J. Rat. Mech. Anal. 2, 107–114 (1953).
F. Tricomi, Atti Accad. Naz. dei Lincei [5] 14, 133 (1923).
F. Tricomi, Equazioni a derivate par ziali (Rome: Edizioni Cremonese), 1957.
S. Agmon, L. Nirenberg, and M. H. Protter, Commun. Pure Appl. Math. 6, 455–470 (1953).
P. Germain and R. Bader, Office Nationale d’Etudes Recherches Aéronautiques No. 54, 1952.
Author information
Authors and Affiliations
Rights 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