References
A. I. Yanushauskas, Potential Methods in the Theory of Elliptic Equations [in Russian], Mokslas, Vil'nyus (1990).
L. Hörmander, Linear Partial Differential Operators, Springer-Verlag, Berlin, Gottingen, and Heidelberg (1963).
L. Hörmander, “Pseudo-differential operators and non-elliptic boundary problems,” Ann. Math. (2),83, 129–209 (1966).
M. I. Vishik, “On strongly elliptic systems of differential equations,” Mat. Sb.,29, No. 3, 615–676 (1951).
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).
R. Courant, Partial Differential Equations [Russian translation], Mir, Moscow (1965).
C. Miranda, Partial Differential Equations of Elliptic Type, Springer-Verlag, Berlin, Gottingen, Heidelberg, and New York (1970).
S. G. Mikhlin, Higher-Dimensional Singular Integrals and Integral Equations [in Russian], Nauka, Moscow (1962).
Ya. B. Lopatinskiî, The Theory of General Boundary Value Problems. Collected Works [in Russian], Naukova Dumka, Kiev (1984).
Additional information
Novosibirsk. Translated fromSibirskiî Matematicheskiî Zhurnal, Vol. 40, No. 1, pp. 226–234, January–February, 1999.
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Yanushauskas, A.I. The Dirichlet problem for a Petrovskiî elliptic system of second-order equations. Sib Math J 40, 195–203 (1999). https://doi.org/10.1007/BF02674307
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DOI: https://doi.org/10.1007/BF02674307