This is a preview of subscription content, log in via an institution to check access.
Literature Cited
H. Brezis, W. Rosenkrantz, and B. Singer, “On a degenerate elliptic - parabolic equation occurring in the theory of probability,” Communs. Pure and Appl. Math.,24, 395–416 (1971).
A. V. Glushak, “On the existence of a solution to an evolutionary equation in Lp,” Trudy Nauchno—Issled. In-ta Matem. Voronhezh Un-ta, No. 5, 28–34 (1972).
A. V. Glushak, “On the solvability of an evolutionary equation in Lp(0, ∞) spaces with a weight,” Trudy Mat. Fak. Voronezh. Un-ta, No. 9, 25–38 (1973).
S. G. Krein, Linear Differential Equations in a Banach Space [in Russian], Nauka, Moscow (1967).
V. P. Glyshko, “Estimates in ℒ2 and the solvability of general boundary-value problems for degenerate second-order elliptic equations,” Trudy Mosk. Mat. O-va, 23, 113–178 (1970).
L. Shumon, “On the approximation of solutions to boundary-value problems in domains with an unbounded boundary,” Mat. Sb.,91, (133), No. 4 (8), 488–499 (1973).
G. K. Fikera, “Toward a unified theory for boundary-value problems for second-order elliptic - parabolic equations,” Matem. Sb. Per.,7, No. 6, 99–121 (1963).
V. G. Bulavin and V. P. Glushko, “On the existence of a solution to the mixed problem for a degenerate differential equation which describes a diffusion process,” Trudy Mat. Fak. Voronezh., Un-ta, No. 7, 29–39 (1972).
S. G. Krein (editor), Functional Analysis [in Russian], Nauka, Moscow (1972).
Additional information
Translated from Sibirskii Matematicheskii Zhurnal, Vol. 16, No. 4, pp. 691–699, July–August, 1975.
Rights and permissions
About this article
Cite this article
Glushak, A.V. A degenerate elliptic - parabolic equation in an unbounded domain. Sib Math J 16, 530–535 (1975). https://doi.org/10.1007/BF00967125
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00967125