2 papers
math.AP2024
Weak-Strong Uniqueness Principle for Hamilton-Jacobi Equations
Victor Issa
We show that if a Hamilton-Jacobi equation admits a differentiable solution whose gradient is Lipschitz, then this solution is the unique semi-concave weak solution. Our result doe…
math.AP2024
Uniqueness of semi-concave weak solutions for Hamilton-Jacobi equations
Victor Issa
It is well known that when the nonlinearity is convex, the Hamilton-Jacobi PDE admits a unique semi-convex weak solution, which is the viscosity solution. In this paper, motivated…