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math.AP2024
Parabolic equations with concave non-linearity
Zhirayr Avetisyan, Khachatur Khachatryan, Michael Ruzhansky
In this paper we prove the existence and uniqueness of positive mild solutions for the semilinear parabolic equations of the form , where is a p…
math.AP2020
Rigidity of a thin domain depends on the curvature, width, and boundary conditions
Zhirayr Avetisyan, Davit Harutyunyan, Narek Hovsepyan
This paper is concerned with the study of linear geometric rigidity of shallow thin domains under zero Dirichlet boundary conditions on the displacement field on the thin edge of t…