Zobrazeno 1 - 10
of 335
pro vyhledávání: '"Suragan, Durvudkhan"'
In this paper, we obtain a fractional Hardy inequality in the case $Q
Externí odkaz:
http://arxiv.org/abs/2410.08039
In the present paper we study inverse problems related to determining the time-dependent coefficient and unknown source function of fractional heat equations. Our approach shows that having just one set of data at an observation point ensures the exi
Externí odkaz:
http://arxiv.org/abs/2405.13338
In this paper, we focus on three main objectives related to Hardy-type inequalities on Cartan-Hadamard manifolds. Firstly, we explore critical Hardy-type inequalities that contain logarithmic terms, highlighting their significance. Secondly, we exami
Externí odkaz:
http://arxiv.org/abs/2403.10655
Local and Global Analysis of Semilinear Heat Equations with Hardy Potential on Stratified Lie Groups
Autor:
Suragan, Durvudkhan, Talwar, Bharat
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 analysis of an equivalent formulation to the problem and an application
Externí odkaz:
http://arxiv.org/abs/2311.11008
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 Morrey spaces play key roles in our proofs. As consequence, we obtain
Externí odkaz:
http://arxiv.org/abs/2308.09147
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 exploration of the sharp Hardy inequalities on various Lie group structure
Externí odkaz:
http://arxiv.org/abs/2308.01782
Autor:
Karazym, Mukhtar, Suragan, Durvudkhan
Based on variational methods, we study the spectral problem for the subelliptic $p$-Laplacian arising from smooth H\"ormander vector fields. We derive the smallest eigenvalue, prove its simplicity and isolatedness, establish the positivity of the fir
Externí odkaz:
http://arxiv.org/abs/2306.14829
Inverse problems of identifying the time-dependent source coefficient for subelliptic heat equations
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 point guarantees the existence of a (smooth) solution pair for the invers
Externí odkaz:
http://arxiv.org/abs/2306.00786
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 extended analogues of a more precise version of the Stein inequality for the
Externí odkaz:
http://arxiv.org/abs/2305.08180
Autor:
Cruz-Uribe, David, Suragan, Durvudkhan
In this paper, we prove the Hardy-Leray inequality and related inequalities in variable Lebesgue spaces. Our proof is based on a version of the Stein-Weiss inequality in variable Lebesgue spaces derived from two weight inequalities due to Melchiori a
Externí odkaz:
http://arxiv.org/abs/2303.14832