23 citations · 48 across the 30 of their papers we have counts for
7 papers · 1 filter
Local and Global Analysis of Semilinear Heat Equations with Hardy Potential on Stratified Lie Groups
Durvudkhan Suragan, Bharat Talwar
On stratified Lie groups we study a semilinear heat equation with the Hardy potential, a power non-linearity and a forcing term which depends only upon the spacial variable. The an…
Stein-Weiss-Adams inequality on Morrey spaces
Aidyn Kassymov, Maria Alessandra Ragusa, Michael Ruzhansky +1
We establish Adams type Stein-Weiss inequality on global Morrey spaces on general homogeneous groups. Special properties of homogeneous norms and some boundedness results on global…
Unified weighted Hardy-type inequalities
Durvudkhan Suragan, Nurgissa Yessirkegenov
We present a unified approach to obtain Hardy-type inequalities in the context of nilpotent Lie groups with sharp constants. The unified methodology employed herein allows for expl…
Subelliptic -Laplacian spectral problem for Hörmander vector fields
Mukhtar Karazym, Durvudkhan Suragan
Based on variational methods, we study the spectral problem for the subelliptic -Laplacian arising from smooth Hörmander vector fields. We derive the smallest eigenvalue, prove…
Inverse problems of identifying the time-dependent source coefficient for subelliptic heat equations
Mansur I. Ismailov, Tohru Ozawa, Durvudkhan Suragan
We discuss inverse problems of determining the time-dependent source coefficient for a general class of subelliptic heat equations. We show that a single data at an observation poi…
Improved Stein inequalities for the Fourier transform
Erlan D. Nursultanov, Durvudkhan Suragan
In this paper, we present a refined version of the (classical) Stein inequality for the Fourier transform, elevating it to a new level of accuracy. Furthermore, we establish extend…