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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.AP2013★ 7 cited
A comparison among various notions of viscosity solutions for Hamilton-Jacobi equations on networks
Fabio Camilli, Claudio Marchi
Three definitions of viscosity solutions for Hamilton-Jacobi equations on networks recently appeared in literature ([1,4,6]). Being motivated by various applications, they appear t…