This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Literature
Bony, J.M.: Principe du maximum, inégalité de Harnack et unicité du problème de Cauchy pour les operateurs elliptiques dégénerés. Ann. Inst. Fourier 19, 277–309 (1969).
Brezis, H.: On the characterization of flow-invariant sets. Communications Pure Appl. Math. 23, 261–263 (1970).
Mlak, W. and C. Olech: Integration of infinite systems of differential inequalities. Ann. Polon. Math. 13, 105–112 (1963).
Müller, M.: Über das Fundamentaltheorem in der Theorie der gewöhnlichen Differentialgleichungen. Math. Zeitschr. 26, 619–645 (1926).
Redheffer, R.: The theorems of Bony and Brezis on flow-invariant sets. Amer. Math. Monthly (1972) (in print)
Voigt, A.: Die Linienmethode für das Cauchy-Problem bei nichtlinearen parabolischen Differentialgleichungen. Dissertation Karlsruhe 1971.
Volkmann, P.: Gewöhnliche Differentialungleichungen mit quasimonoton wachsenden Funktionen in topologischen Vektorräumen. Math. Zeitschr. (submitted for publication) (1971)
Walter, W.: Gewöhnliche Differential-Ungleichungen im Banachraum. Arch. Math. 20, 36–47 (1969).
—: Differential and integral inequalities. Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 55. Springer Verlag 1970.
Ordinary differential inequalities in ordered Banach spaces. J. Diff. Equations 9, 253–261 (1971).
Editor information
Rights and permissions
Copyright information
© 1972 Springer-Verlag
About this paper
Cite this paper
Walter, W. (1972). Some new aspects of the line method for parabolic differential equations. In: Everitt, W.N., Sleeman, B.D. (eds) Conference on the Theory of Ordinary and Partial Differential Equations. Lecture Notes in Mathematics, vol 280. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066927
Download citation
DOI: https://doi.org/10.1007/BFb0066927
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-05962-2
Online ISBN: 978-3-540-37618-7
eBook Packages: Springer Book Archive