From the 1 of 5 linked papers with an AI index.
5 papers
Galerkin Approximation of the Fractional Hardy Constant
Andreea Dima, Liviu I. Ignat
The paper derives sharp estimates for the discrete optimal constant in the fractional Hardy inequality and analyzes convergence rates of a Galerkin finite element method with piece…
Optimal convergence rates for the finite element approximation of the Sobolev constant
Liviu I. Ignat, Enrique Zuazua
We establish optimal convergence rates for the continuous piecewise affine finite element approximation of the Sobolev constant in arbitrary dimensions N\geq 2 and for Lebesgue exp…
Galerkin Approximation of the Fractional Sobolev Constant
Andreea Dima, Liviu I. Ignat
We establish sharp estimates for the discrete optimal constant of the fractional Sobolev inequality in dimension , with fractional exponent . The c…
Optimal Investment with Switching Preferences
Yu-Jui Huang, Liviu Ignat, Traian A. Pirvu +1
Major life events can significantly increase individuals' risk aversion over a sustained period of time, as empirical studies reveal. How such an event-triggered shift of risk pref…
Sharp numerical approximation of the Hardy constant
Liviu I. Ignat, Enrique Zuazua
We study the finite element approximation of the best constant in the classical Hardy inequality over bounded domains containing the origin in , for .…