89 citations · 178 across the 9 of their papers we have counts for
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math.AP2014
Sobolev regularity for the first order Hamilton-Jacobi equation
Pierre Cardaliaguet, Alessio Porretta, Daniela Tonon
We provide Sobolev estimates for solutions of first order Hamilton-Jacobi equations with Hamiltonians which are superlinear in the gradient variable. We also show that the solution…
math.AP2014★ 43 cited
BV-regularity of the Boltzmann equation in Non-Convex Domains
Yan Guo, Chanwoo Kim, Daniela Tonon +1
Consider the Boltzmann equation in a general non-convex domain with the diffuse boundary condition. We establish optimal BV estimates for such solutions. Our method consists of a n…