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JOURNALS // Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica // Archive

Bul. Acad. Ştiinţe Repub. Mold. Mat., 2022 Number 2, Pages 76–102 (Mi basm574)

Limits of solutions to the semilinear plate equation with small parameter

Andrei Perjan, Galina Rusu

Moldova State University

Abstract: We study the existence of the limits of solutions to the semilinear plate equation with boundary Dirichlet condition with a small parameter coefficient of the second order derivative in time. We establish the convergence of solutions to the perturbed problem and their derivatives in spacial variables to the corresponding solutions to the unperturbed problem as the small parameter tends to zero.

Keywords and phrases: a priory estimate, boundary layer, semilinear plate equation, singular perturbation.

MSC: 35B25, 35K15, 35L15, 34G10

Received: 13.08.2022

Language: English

DOI: 10.56415/basm.y2022.i2.p76



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