2 papers
math.NA2013
Hypercontractivity of a semi-Lagrangian scheme for Hamilton-Jacobi equations
Fabio Camilli, Paola Loreti, Cristina Pocci
The equivalence between logarithmic Sobolev inequalities and hypercontractivity of solutions of Hamilton-Jacobi equations has been proved in [5]. We consider a semi-Lagrangian appr…
math.AP2012
Singular limit of a nonlinear fourth order inhomogeneous equation
Cristina Pocci
In this paper we use the method of matched asymptotic expansions in order to obtain a geometric motion as the singular limit of a nonlinear fourth order inhomogeneous equation.