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This article is cited in 1 scientific paper (total in 1 paper)
An estimate of solutions of parabolic problems without an initial condition
Yu. P. Krasovskii
Abstract:
A solution of a parabolic equation without an initial condition is determined in terms of the right side in a semi-infinite cylinder. It is assumed that the coefficients of the equation do not depend on time. An estimate of the solution is given in terms of the right side of the equation, which estimate contains a weighted exponential function of time.
Received: 10.05.1989
Citation:
Yu. P. Krasovskii, “An estimate of solutions of parabolic problems without an initial condition”, Math. USSR-Izv., 38:2 (1992), 429–433
Linking options:
https://www.mathnet.ru/eng/im1018https://doi.org/10.1070/IM1992v038n02ABEH002207 https://www.mathnet.ru/eng/im/v55/i2/p439
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