115 citations · 1.9k across the 226 of their papers we have counts for
18 papers · 2 filters
Comparison of One- Two- and Three- Dimensional CNN models for Drawing-Test-Based Diagnostics of the Parkinson's Disease
Xuechao Wang, Junqing Huang, Marianna Chatzakou +6
Subject: In this article, convolutional networks of one, two, and three dimensions are compared with respect to their ability to distinguish between the drawing tests produced by P…
- boundedness of pseudo-differential operators on graded Lie groups
Duván Cardona, Vishvesh Kumar, Michael Ruzhansky
In this paper we establish the - estimates for global pseudo-differential operators on graded Lie groups. We provide both necessary and sufficient conditions for the $L^p…
Best constants in subelliptic fractional Sobolev and Gagliardo-Nirenberg inequalities and ground states on stratified Lie groups
Sekhar Ghosh, Vishvesh Kumar, Michael Ruzhansky
In this paper, we establish the sharp fractional subelliptic Sobolev inequalities and Gagliardo-Nirenberg inequalities on stratified Lie groups. The best constants are given in ter…
Inverse problem of determining time-dependent leading coefficient in the time-fractional heat equation
Daurenbek Serikbaev, Michael Ruzhansky, Niyaz Tokmagambetov
In this paper, we investigate direct and inverse problems for the time-fractional heat equation with a time-dependent leading coefficient for positive operators. First, we consider…
Heat Source Determining Inverse Problem for non-local in time equation
Daurenbek Serikbaev, Michael Ruzhansky, Niyaz Tokmagambetov
In this paper, we consider the inverse problem of determining the time-dependent source term in the general setting of Hilbert spaces and for general additional data. We prove the…
Discrete time-dependent wave equation for the Schrödinger operator with unbounded potential
Aparajita Dasgupta, Shyam Swarup Mondal, Michael Ruzhansky +1
In this article, we investigate the semiclassical version of the wave equation for the discrete Schrödinger operator, on t…