Abstract
We investigate properties of solutions of the Cauchy problem for evolution equations with essentially infinite-dimensional elliptic operators.
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REFERENCES
Y. V. Bogdanskii (1977) ArticleTitleCauchy problem for parabolic equations with essentially infinite-dimensional elliptic operators Ukr. Mat. Zh. 29 IssueID6 781–784
Y. V. Bogdanskii (1977) Parabolic Equations with Essentially Infinite-Dimensional Elliptic Operators Dep Kiev
Y. L. Daletskii S. V. Fomin (1983) Measures and Differential Equations in Infinite-Dimensional Spaces Nauka Moscow
S. G. Krein (1967) Linear Differential Equations in Banach Spaces Nauka Moscow
A. Y. Mal’tsev (2004) ArticleTitleEssentially infinite-dimensional evolution equations Ukr. Mat. Zh. 56 IssueID2 214–220
Y. V. Bogdanskii (1989) ArticleTitleCauchy problem for the heat equation with nonregular elliptic operator Ukr. Mat. Zh. 41 IssueID5 584–590
Y. V. Bogdanskii (1994) ArticleTitleCauchy problem for an essentially infinite-dimensional parabolic equation with varying coefficients Ukr. Mat. Zh. 46 IssueID6 663–670
Y. V. Bogdanskii (1995) ArticleTitleCauchy problem for the essentially infinite-dimensional heat equation on a surface in a Hilbert space Ukr. Mat. Zh. 47 IssueID6 737–746
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 56, No. 5, pp. 656–662, May, 2004.
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Mal’tsev, A.Y. Properties of solutions of the cauchy problem for essentially infinite-dimensional evolution equations. Ukr Math J 56, 790–798 (2004). https://doi.org/10.1007/PL00022189
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DOI: https://doi.org/10.1007/PL00022189