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Caus, N. N.

A theorem on the behavior at infinity of solutions of partial differential equations. (English) Zbl 0352.35020

Ukr. Math. J. 28(1976), 658-660 (1977).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0352.35020

MSC:

35B40 Asymptotic behavior of solutions to PDEs
35G05 Linear higher-order PDEs
35A05 General existence and uniqueness theorems (PDE) (MSC2000)
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References:

[1] S. D. Eidel’man, ?Liouville-type theorems for parabolic and elliptic systems,? Dokl. Akad. Nauk SSSR,99, No. 5, 681-684 (1954).
[2] E. M. Landis, ?On certain properties of solutions of elliptic equations,? Dokl. Akad. Nauk SSSR,107, No. 5, 640-643 (1956). · Zbl 0075.28201
[3] I. S. Arshon and M. A. Pak, ?Uniqueness theorems for harmonic functions in a half-space,? Mat. Sb.,68(110), No. 1, 148-151 (1965).
[4] M. A. Pak, ?On the diminution of solutions of linear elliptic equations with constant coefficients,? Mat. Sb.,78(120), No. 3, 355-359 (1969).
[5] E. S. Dekhtyaryuk, ?Asymptotic uniqueness theorems for the solution of a system of differential equations in a half-space,? Dopov. Akad. Nauk UkrRSR, Ser. A, No. 12, 1069-1073 (1969).
[6] I. M. Gel’fand and G. E. Shilov, Generalized Functions [in Russian], No. 2, Fizmatgiz, Moscow (1958). · Zbl 0091.11103
[7] S. Mandelbrojt, Adherent Series. Regularization of Sequences. Applications [Russian translation], Izd. Inostr. Lit., Moscow (1955).
[8] S. Mandelbrojt, Closure Theorems and Composition Theorems [Russian translation], Izd. Inostr. Lit., Moscow (1962).
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