journal article
Oct 01, 1998
On quasielliptic operators inR n †
Topics
No keywords indexed for this article. Browse by subject →
References
16
[1]
L. R. Volevich, “Local properties of solutions to quasielliptic systems,” Mat. Sb.,59, No. 3, 3–52 (1962).
[2]
G. V. Demidenko, “Integral operators determined by quasielliptic equations. I,” Sibirsk. Mat. Zh.34, No. 6, 52–67 (1993).
[3]
G. V. Demidenko, “On weighted Sobolev spaces and integral operators determined by quasielliptic equations,” Dokl. Akad. Nauk,334, No. 4, 420–423 (1994).
[4]
L. D. Kudryavtsev, “Embedding theorems for classes of functions determined in the whole space or in the half-space,” I: Mat. Sb.,69, No. 4, 616–639 (1966); II: Mat. Sb.,70, No. 1, 3–35 (1966).
[5]
L. D. Kudryavtsev and S. M. Nikol'skiî, “Spaces of differentiable functions in several variables and embedding theorems,” in: Contemporary Problems of Mathematics. Fundamental Trends [in Russian], VINITI, Moscow, 1988,26, pp. 5–157. (Itogi Nauki i Tekhniki.)
[6]
L. Nirenberg and H. F. Walker, “The null spaces of elliptic partial differential operators inR n,” J. Math. Anal. Appl.,42, No. 2, 271–301 (1973).
10.1016/0022-247x(73)90138-8
[7]
M. Cantor, “Elliptic operators and decomposition of tensor fields,” Bull. Amer. Math. Soc.,5, No. 3, 235–262 (1981).
10.1090/s0273-0979-1981-14934-x
[8]
Y. Choquet-Bruhat and D. Christodoulou, “Elliptic systems inH s, σ spaces on manifolds which are Euclidean at infinity,” Acta Math.,146, No. 1–2, 129–150 (1981).
10.1007/bf02392460
[9]
R. B. Lockhart, and R. C. McOwen, “Elliptic differential operators on noncompact manifolds,” Ann. Scuola Norm. Sup. Pisa Cl. Sci.,12, No. 3, 409–447 (1985).
[10]
G. V. Demidenko, “On properties of quasielliptic operators,” in: The Second Siberian Congress on Applied and Industrial Mathematics, Inst. Mat. (Novosibirsk), Novosibirsk, 1996, p. 92.
[11]
S. V. Uspenskii, “On representation of functions determined by a certain class of hypoelliptic operators,” Trudy Mat. Inst. Steklov.,117, 292–299 (1972).
[12]
S. V. Uspenskiî, “On differential properties at infinity of solutions to a certain class of pseudod-ifferential equations,” I: Sibirsk. Mat. Zh.,13, No. 3, 665–678 (1972); II: Sibirsk. Mat. Zh.13, No. 4, 903–909 (1972).
[13]
P. I. Lizorkin, “Generalized Liouville differentiation and the multiplier method in the theory of embeddings of classes of differentiable functions and its applications,” Trudy Mat. Inst. Steklov.,105, 89–167 (1969).
[14]
G. H. Hardy, D. E. Littlewood, and G. Pólya, Inequalities [Russian translation], Izdat. Inostr. Lit., Moscow (1948).
[15]
S. V. Uspenskiî, G. V. Demidenko, and V. G. Perepëlkin, Embedding Theorems and Applications to Differential Equations [in Russian], Nauka, Novosibirsk (1984).
[16]
G. V. Demidenko, “L p-theory of boundary value problems for Sobolev type equations,” in: Partial Differential Equations, Banach Center Publications, Warszawa, 1992,27, Part I, pp. 101–109.
Metrics
15
Citations
16
References
Details
- Published
- Oct 01, 1998
- Vol/Issue
- 39(5)
- Pages
- 884-893
- License
- View
Authors
Cite This Article
G. V. Demidenko (1998). On quasielliptic operators inR n †. Siberian Mathematical Journal, 39(5), 884-893. https://doi.org/10.1007/bf02672910
Related
You May Also Like
Sequences of convex functions and estimates of the maximum of the solution of a parabolic equation
N. V. Krylov · 1976
65 citations
Asymptotic behavior of a solution to a boundary value problem in a perforated domain with oscillating boundary
A. G. Belyaev, A. L. Pyatnitskiî · 1998
51 citations