Keywords
- Dual Space
- Topological Vector Space
- Linear Partial Differential Equation
- Linear Partial Differential Operator
- Topological Isomorphism
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your 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.
Bibliographic References
F.E. Browder, Functional analysis and partial differential equations II. Math.Ann. 145 (1962), 81–226.
S. Goldberg, Unbounded linear operators: theory and applications. New York-London 1966.
L. Hörmander, Linear partial differential operators, Grundlehren der math. Wiss. 116, Berlin-Heidelberg-New York 1976.
J.L. Lions, E. Magenes, Non-homogeneous boundary value problems and applications, Grundlehren der math. Wiss. 181, Berlin-Heidelberg-New York 1972.
B. Malgrange, Existence et approximation des solutions des équations aux derivées partielles et des équations de convolution, Ann. Inst. Fourier Grenoble 6 (1955–1956), 271–355.
R. Mennicken, B. Sagraloff, Eine Verallgemeinerung des Satzes vom abgeschlossenen Wertebereich in lokalkonvexen Räumen, manus. math. 18, (1976), 109–146.
R. Mennicken, B. Sagraloff, Characterizations of nearly-openness, J. reine angew. Math. (in print.)
A. Plis, A smooth linear elliptic differential equation without any solution in a sphere, Com. pure and appl. math. 14 (1961), 599–617.
B. Sagraloff, Eine Ergänzung zum Satz vom abgeschlossenen Wertebereich in lokalkonvexen Räumen, manus. math. 22 (1977), 213–224.
B. Sagraloff, Normale Auflösbarkeit bei linearen partiellen Differentialoperatoren in lokalen gewichteten Sobolevräumen, J. reine angew. Math. 310 (1979), 131–150.
H.H. Schaefer, Topological vector spaces, Graduate texts in mathematics 3, Berlin 1971.
F. Trèves, Locally convex spaces and linear partial differential equations, Grundlehren der math. Wiss. 146, Berlin-Heidelberg-New York 1967.
F. Trèves, Linear partial differential equations, New York-London-Paris 1970.
F. Trèves, Topological vector spaces, distributions and kernels, New York 1967.
F. Trèves, Basic linear differential equations, New York 1975.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1980 Springer-Verlag
About this paper
Cite this paper
Sagraloff, B. (1980). Normal solvability of linear partial differential operators in C∞(Ω). In: Martini, R. (eds) Geometrical Approaches to Differential Equations. Lecture Notes in Mathematics, vol 810. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089984
Download citation
DOI: https://doi.org/10.1007/BFb0089984
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-10018-8
Online ISBN: 978-3-540-38166-2
eBook Packages: Springer Book Archive
