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 SM ISO690:2012PERJAN, Andrei, RUSU, Galina. Limits of the Solutions to the Initial-Boundary Dirichlet Problem for the Semilinear Klein-Gordon Equation with Two Small Parameters. In: Conference on Applied and Industrial Mathematics: CAIM 2018, 20-22 septembrie 2018, Iași, România. Chișinău, Republica Moldova: Casa Editorial-Poligrafică „Bons Offices”, 2018, Ediţia a 26-a, p. 64. ISBN 978-9975-76-247-2. |
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| Conference on Applied and Industrial Mathematics Ediţia a 26-a, 2018 |
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Conferința "Conference on Applied and Industrial Mathematics" Iași, România, Romania, 20-22 septembrie 2018 | ||||||
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| Pag. 64-64 | ||||||
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We study the behavior of solutions u" to the problem (P") in two di erent cases: (i) when " ! 0 and 0 > 0; (ii) when " ! 0 and ! 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. |
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Dublin Core Export
<?xml version='1.0' encoding='utf-8'?> <oai_dc:dc xmlns:dc='http://purl.org/dc/elements/1.1/' xmlns:oai_dc='http://www.openarchives.org/OAI/2.0/oai_dc/' xmlns:xsi='http://www.w3.org/2001/XMLSchema-instance' xsi:schemaLocation='http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd'> <dc:creator>Perjan, A.</dc:creator> <dc:creator>Rusu, G.I.</dc:creator> <dc:date>2018</dc:date> <dc:description xml:lang='en'><p>We study the behavior of solutions u" to the problem (P") in two di erent cases: (i) when " ! 0 and 0 > 0; (ii) when " ! 0 and ! 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.</p></dc:description> <dc:source>Conference on Applied and Industrial Mathematics (Ediţia a 26-a) 64-64</dc:source> <dc:title>Limits of the Solutions to the Initial-Boundary Dirichlet Problem for the Semilinear Klein-Gordon Equation with Two Small Parameters</dc:title> <dc:type>info:eu-repo/semantics/article</dc:type> </oai_dc:dc>
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