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Limits of the Solutions to the Initial-Boundary Dirichlet Problem for the Semilinear Klein-Gordon Equation with Two Small Parameters

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dc.contributor.author PERJAN, Andrei
dc.contributor.author RUSU, Galina
dc.date.accessioned 2020-11-03T21:55:30Z
dc.date.available 2020-11-03T21:55:30Z
dc.date.issued 2018
dc.identifier.citation PERJAN, Andrei, RUSU, Galina. Limits of the Solutions to the Initial-Boundary Dirichlet Problem for the Semilinear Klein-Gordon Equation with Two Small Parameters. In: CAIM 2018: The 26th Conference on Applied and Industrial Mathematics: Book of Abstracts, Technical University of Moldova, September 20-23, 2018. Chişinău: Bons Offices, 2018, p. 64. en_US
dc.identifier.uri http://repository.utm.md/handle/5014/11080
dc.description Only Abstract en_US
dc.description.abstract We study the behavior of solutions uεδ to the problem (Pεδ) in two different cases: (i) when ε → 0 and δ ≥ δ0 > 0; (ii) when ε → 0 and δ → 0. We obtain some a priori estimates of solutions to the perturbed problem, which are uniform with respect to parameters, and a relationship between solutions to both problems. We establish that the solution to the unperturbed problem has a singular behavior, relative to the parameters, in the neighbourhood of t = 0. We show the boundary layer and boundary layer function in both cases. en_US
dc.language.iso en en_US
dc.publisher Bons Offices en_US
dc.rights Attribution-NonCommercial-NoDerivs 3.0 United States *
dc.rights.uri http://creativecommons.org/licenses/by-nc-nd/3.0/us/ *
dc.subject initial-boundary Dirichlet problems en_US
dc.subject semilinear Klein-Gordon equation en_US
dc.subject solutions en_US
dc.subject boundary layer en_US
dc.title Limits of the Solutions to the Initial-Boundary Dirichlet Problem for the Semilinear Klein-Gordon Equation with Two Small Parameters en_US
dc.type Article en_US


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