journal article
Feb 01, 1999
The Dirichlet problem for a Petrovskiî elliptic system of second-order equations
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References
9
[1]
A. I. Yanushauskas, Potential Methods in the Theory of Elliptic Equations [in Russian], Mokslas, Vil'nyus (1990).
[2]
L. Hörmander, Linear Partial Differential Operators, Springer-Verlag, Berlin, Gottingen, and Heidelberg (1963).
10.1007/978-3-642-46175-0
[3]
L. Hörmander, “Pseudo-differential operators and non-elliptic boundary problems,” Ann. Math. (2),83, 129–209 (1966).
10.2307/1970473
[4]
M. I. Vishik, “On strongly elliptic systems of differential equations,” Mat. Sb.,29, No. 3, 615–676 (1951).
[5]
E. Golovko, “The Dirichlet problem for a nonstrongly elliptic system of second-order equations,” Differentsial'nye Uravneniya i Primenen. (Vil'nyus), No. 40, 9–15 (1987).
[6]
R. Courant, Partial Differential Equations [Russian translation], Mir, Moscow (1965).
[7]
C. Miranda, Partial Differential Equations of Elliptic Type, Springer-Verlag, Berlin, Gottingen, Heidelberg, and New York (1970).
[8]
S. G. Mikhlin, Higher-Dimensional Singular Integrals and Integral Equations [in Russian], Nauka, Moscow (1962).
[9]
Ya. B. Lopatinskiî, The Theory of General Boundary Value Problems. Collected Works [in Russian], Naukova Dumka, Kiev (1984).
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Details
- Published
- Feb 01, 1999
- Vol/Issue
- 40(1)
- Pages
- 195-203
- License
- View
Authors
Cite This Article
A. I. Yanushauskas (1999). The Dirichlet problem for a Petrovskiî elliptic system of second-order equations. Siberian Mathematical Journal, 40(1), 195-203. https://doi.org/10.1007/bf02674307
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