5 papers
Revised logarithmic Sobolev inequalities of fractional order
Marianna Chatzakou, Michael Ruzhansky
In this short note we prove the logarithmic Sobolev inequality with derivatives of fractional order on with an explicit expression for the constant. Namely, we show…
Degenerate Schrödinger equations with irregular potentials
Duván Cardona, Marianna Chatzakou, Julio Delgado +1
In this work we investigate a class of degenerate Schrödinger equations associated to degenerate elliptic operators with irregular potentials on $\Ran$ by introducing a suitable Hö…
A Light-weight CNN Model for Efficient Parkinson's Disease Diagnostics
Xuechao Wang, Junqing Huang, Marianna Chatzakou +5
In recent years, deep learning methods have achieved great success in various fields due to their strong performance in practical applications. In this paper, we present a light-we…
Heat and wave type equations with non-local operators, II. Hilbert spaces and graded Lie groups
Marianna Chatzakou, Joel E. Restrepo, Michael Ruzhansky
We study heat and wave type equations on a separable Hilbert space by considering non-local operators in time with any positive densely defined linear operator with d…
Schatten-von Neumann properties for Hörmander classes on compact Lie groups
Duván Cardona, Marianna Chatzakou, Michael Ruzhansky +1
Let be a compact Lie group of dimension In this work we characterise the membership of classical pseudo-differential operators on in the trace class ideal $S_{1}(L^2(G…