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This article is cited in 1 scientific paper (total in 1 paper)
Unique solvability of pseudohyperbolic equations with singular right-hand sides
D. A. Nomirovskii National Taras Shevchenko University of Kyiv
Abstract:
In this paper, we consider the solvability of the Cauchy problem for pseudohyperbolic equations
(partial differential equations of third order). For the case in which the right-hand side is a generalized function (distribution) of finite order, we establish a theorem on the unique solvability
for a sufficiently general pseudohyperbolic operator. The method of proof is based on a specially constructed “scale” of a priori inequalities for the direct and adjoint operators.
Received: 18.02.2004 Revised: 13.12.2005
Citation:
D. A. Nomirovskii, “Unique solvability of pseudohyperbolic equations with singular right-hand sides”, Mat. Zametki, 80:4 (2006), 582–595; Math. Notes, 80:4 (2006), 550–562
Linking options:
https://www.mathnet.ru/eng/mzm2851https://doi.org/10.4213/mzm2851 https://www.mathnet.ru/eng/mzm/v80/i4/p582
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Abstract page: | 520 | Full-text PDF : | 224 | References: | 53 | First page: | 6 |
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