journal article Jul 01, 1978

The first boundary-value problem for an infinite-dimensional linear differential operator of arbitrary order

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References
11
[1]
Yu. L. Daletskii, “Infinite-dimensional elliptic operators and parabolic equations connected with them,” Usp. Mat. Nauk,22, No. 4, 3–54 (1967).
[2]
L. Gross, “Potential theory on Hilbert space,” J. Functional Analysis,1, No. 1, 123–181 (1967). 10.1016/0022-1236(67)90030-4
[3]
M. A. Piech, “A fundamental solution of the parabolic equation on Hilbert space,” J. Functional Analysis,3, No. 1, 85–114 (1969). 10.1016/0022-1236(69)90053-6
[4]
P. M. Blekher and M. I. Vishik, “On a class of pseudodifferential operators with infinite number of variables and their applications,” Mat. Sb.,86, No. 3, 446–494 (1971).
[5]
M. I. Vishik and A. V. Marchenko, “Boundary-value problems for elliptic operators of second order on infinite-dimensional manifolds with boundary,” Mat. Sb.,90, No. 3, 331–371 (1973).
[6]
N. N. Frolov, “Embedding theorems for functions of a countable number of variables and their applications to the Dirichlet problem,” Dokl. Akad. Nauk SSSR,203 No. 1, 39–42 (1972).
[7]
N. N. Frolov, “On the coerciveness inequality for an elliptic operator with infinite number of independent variables,” Mat. Sb.,90, No. 3, 403–414 (1973).
[8]
Yu. M. Berezanskii, Decomposition of Self-Adjoint Operators into Characteristic Functions [in Russian], Naukova Dumka, Kiev (1965).
[9]
Yu. L. Daletskii and S. N. Paramonova, “On a formula of the theory of Gaussian measures and the estimation of stochastic integrals,” Teor. Veroyatn. Ee Primen.,19, No. 4, 844–848 (1974).
[10]
T. Hida, Stationary Stochastic Processes, Princeton Univ. Press, Princeton (1970).
[11]
K. Yoshida, Functional Analysis, Springer-Verlag, New York-Berlin (1965).
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Published
Jul 01, 1978
Vol/Issue
19(4)
Pages
662-670
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N. N. Frolov (1978). The first boundary-value problem for an infinite-dimensional linear differential operator of arbitrary order. Siberian Mathematical Journal, 19(4), 662-670. https://doi.org/10.1007/bf00967738