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Showing 2009 · math.APShow all
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math.AP2009★ 21 cited
Local Estimates for Viscosity Solutions of Neumann-type Boundary Value Problems
Guy Barles, Francesca Da Lio
In this article, we prove the local regularity and provide estimates for viscosity solutions of fully nonlinear, possibly degenerate, elliptic equations associa…
math.AP2009
On C^0-variational solutions for Hamilton-Jacobi equations
Olga Bernardi, Franco Cardin
For evolutive Hamilton-Jacobi equations, we propose a refined definition of C^0-variational solution, adapted to Cauchy problems for continuous initial data. In this weaker framewo…
math.AP2009★ 21 cited
3-Commutators Estimates and the Regularity of 1/2 Harmonic Maps into Spheres
Francesca Da Lio, Tristan Riviere
We prove the regularity of weak 1/2-harmonic maps from the real line into a sphere. The key point in our result is first a formulation of the 1/2-harmonic map equation in the form…