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This article is cited in 21 scientific papers (total in 21 papers)
Asymptotic behaviour of solutions of the first boundary-value problem for strongly hyperbolic systems near a conical point at the boundary of the domain
Nguyen Manh Hung M. V. Lomonosov Moscow State University
Abstract:
An existence and uniqueness theorem for generalized solutions of the first initial-boundary-value problem for strongly hyperbolic systems in bounded domains is established. The question of estimates in Sobolev spaces of the derivatives with respect to time of the generalized solution is discussed. It is shown that the smoothness of generalized solutions with respect to time is independent of the structure of the boundary of the domain but depends on the coefficients of the right-hand side. Results on the smoothness of the generalized solution and its asymptotic behaviour in a neighbourhood of a conical boundary point are also obtained.
Received: 18.08.1997 and 20.01.1999
Citation:
Nguyen Manh Hung, “Asymptotic behaviour of solutions of the first boundary-value problem for strongly hyperbolic systems near a conical point at the boundary of the domain”, Sb. Math., 190:7 (1999), 1035–1058
Linking options:
https://www.mathnet.ru/eng/sm415https://doi.org/10.1070/sm1999v190n07ABEH000415 https://www.mathnet.ru/eng/sm/v190/i7/p103
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