Monire Mikaeili Nia

activity

20242026

collaborators

3 papers

math.AP2026

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…

math.AP2025

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…

math.CA2024

A New Approach to $(1, 1) -$ Weak-type Estimate for the Littlewood-Paley Operators $S_{α, ψ}$ and $g_{λ, ψ}^{*}$

Arash Ghorbanalizadeh, Monire Mikaeili Nia

In this study, $(1, 1) -$ weak type boundedness of square function $S_{α, ψ}$ is obtained by using Nazarov-Treil and Volberg technique. Also using this result, the $(1, 1) -$ weak type b…

Very weak solutions of the heat equation with anisotropically singular time-dependent diffusivity

Very weak solutions of the heat equation with anisotropically singular time-dependent diffusivity

A New Approach to (1,1)−Weak-type Estimate for the Littlewood-Paley Operators Sα,ψ​ and gλ,ψ∗​

A New Approach to $(1, 1) -$ Weak-type Estimate for the Littlewood-Paley Operators $S_{α, ψ}$ and $g_{λ, ψ}^{*}$