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This article is cited in 2 scientific papers (total in 2 papers)
Positive solutions of linear quasielliptic evolution equations
V. A. Kondrat'ev, T. G. Pletneva, S. D. Èidel'man
Abstract:
We study a new class of elliptic equations whose characteristic surfaces are hyperplanes $t=\mathrm{const}$. We establish integrability of positive solutions of such equations with power weights in regions adjoining characteristic hyperplanes and in cylinders with generators parallel to the time axis. Information is obtained on the behavior of such solutions in unbounded regions. Examples which illustrate the accuracy of the results are mentioned.
Bibliography: 7 titles.
Received: 09.06.1971
Citation:
V. A. Kondrat'ev, T. G. Pletneva, S. D. Èidel'man, “Positive solutions of linear quasielliptic evolution equations”, Math. USSR-Sb., 18:1 (1972), 15–44
Linking options:
https://www.mathnet.ru/eng/sm3215https://doi.org/10.1070/SM1972v018n01ABEH001609 https://www.mathnet.ru/eng/sm/v131/i1/p16
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