A note on the regularity of solutions of Hamilton-Jacobi equations with superlinear growth in the gradient variable

@inproceedings{Cardaliaguet2008ANO,
  title={A note on the regularity of solutions of Hamilton-Jacobi equations with superlinear growth in the gradient variable},
  author={Pierre Cardaliaguet},
  year={2008}
}
for some δ > 0. Regularity of solutions of Hamilton-Jacobi equations with superlinear growth have been the object of several works (see in particular Lions [6], Barles [3], Rampazzo, Sartori [7]). Our aim is to show that u is locally Hölder continuous with Hölder exponent and constant depending only M , δ, q and T . What is new compared to the previous… CONTINUE READING