11 citations · 54 across the 23 of their papers we have counts for
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Very weak solutions of the heat equation with anisotropically singular time-dependent diffusivity
Zhirayr Avetisyan, Zahra Keyshams, Monire Mikaeili Nia +1
We investigate the heat equation with a time-dependent, anisotropic, and potentially singular diffusivity tensor. Since weak (in the Sobolev sense) or distributional solutions may…
Very weak solutions of the heat equation with anisotropically singular time-dependent diffusivity
Zhirayr Avetisyan, Zahra Keyshams, Monire Mikaeili Nia +1
We investigate the heat equation with a time-dependent, anisotropic, and potentially singular diffusivity tensor. Since weak (in the Sobolev sense) or distributional solutions may…
Exponential decay estimates for the resolvent kernel on a Riemannian manifold
Zhirayr Avetisyan
On a complete, connected, non-compact Riemannian manifold, with Ricci curvature bounded from below, we establish exponential decay estimates at infinity for the spherical sums of t…
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…
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…