Quasi-convex Hamilton-Jacobi equations posed on junctions: The multi-dimensional case

@inproceedings{Imbert2017QuasiconvexHE,
  title={Quasi-convex Hamilton-Jacobi equations posed on junctions: The multi-dimensional case},
  author={C. Imbert and R Monneau Dma and Cermics},
  year={2017}
}
A multi-dimensional junction is obtained by identifying the boundaries of a finite number of copies of an Euclidian half-space. The main contribution of this article is the construction of a multidimensional vertex test function G ( x , y ). First, such a function has to be sufficiently regular to be used as a test function in the viscosity solution theory for quasi-convex Hamilton-Jacobi equations posed on a multi-dimensional junction. Second, its gradients have to satisfy appropriate… CONTINUE READING

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