TWO PARAMETER SINGULAR PERTURBATION PROBLEMS FOR SINE-GORDON TYPE EQUATIONS

Perjan, Andrei; Rusu, Galina

dc.contributor.author	Perjan, Andrei
dc.contributor.author	Rusu, Galina
dc.date.accessioned	2022-03-14T10:05:51Z
dc.date.available	2022-03-14T10:05:51Z
dc.date.issued	2022
dc.identifier.citation	PERJAN, Andrei, RUSU, Galina. Two parameter singular perturbation problems for sine-gordon type equations. In: Carpathian Journal of Mathematics. 2022, Vol. 38,nr. 1, pp. 201-215. ISSN 1584-2851.	en
dc.identifier.issn	1584-2851
dc.identifier.uri	https://doi.org/10.37193/CJM.2022.01.16
dc.identifier.uri	http://dspace.usm.md:8080/xmlui/handle/123456789/5802
dc.description.abstract	In the real Sobolev space H1 0 (Ω) we consider the Cauchy-Dirichlet problem for sine-Gordon type equation with strongly elliptic operators and two small parameters. Using some a priori estimates of solutions to the perturbed problem and a relationship between solutions in the linear case, we establish convergence estimates for the difference of solutions to the perturbed and corresponding unperturbed problems. We obtain that the solution to the perturbed problem has a singular behavior, relative to the parameters, in the neighbourhood of t = 0	en
dc.language.iso	en	en
dc.subject	apriory estimate	en
dc.subject	boundary layer function	en
dc.subject	Sine-Gordon type equation	en
dc.subject	singular perturbation	en
dc.title	TWO PARAMETER SINGULAR PERTURBATION PROBLEMS FOR SINE-GORDON TYPE EQUATIONS	en
dc.type	Article	en