Literature cited
Yu. M. Berezanskii, Expansions in Characteristic Functions of Self-Adjoint Operators [in Russian], Izd-vo Naukova Dumka, Kiev (1965).
Ya. B. Lopatinskii, Fundamental solutions of elliptic systems of linear differential equations, Ukrainsk. Matem. Zh.,3, No. 1 (1951); Fundamental solutions of systems of elliptic differential equations, Ukrainsk. Matem. Zh.,3, No. 3 (1951).
É. É. Levi, Linear elliptic partial differential equations, UMN,8, 249–292 (1940).
D. P. Mel'nik, Fundamental solutions of elliptic systems of equations with a parameter for an unbounded space, Naukovi Zapiski LDU, Ser. Mekh.-Matem.,44, No. 3, 204–209 (1957).
S. G. Mikhlin, Multi-Dimensional Singular Integrals and Integral Equations [in Russian], Fizmatgiz, Moscow (1959).
S. D. Éidel'man, Parabolic Systems [in Russian], Izd-vo Nauka, Moscow (1964).
M. I. Matiichuk and S. D. Éidel'man, Fundamental solutions of elliptic systems, Ukrainsk. Matem. Zh.,18, No. 2 (1966).
Author information
Authors and Affiliations
Additional information
Translated from Ukrainskii Matematicheskii Zhurnal, Vol.20, No.5, pp.642–653, September–October, 1968.
Rights and permissions
About this article
Cite this article
Matiichuk, M.I., Éidel'man, S.D. Differentiability of fundamental solutions of elliptic equations. Ukr Math J 20, 554–562 (1968). https://doi.org/10.1007/BF01091999
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01091999