Discontinuous solutions for Hamilton-Jacobi equations: Uniqueness and regularity
The uniqueness of classical semicontinuous viscosity solutions of the Cauchy problem for Hamilton-Jacobi equations with convex Hamiltonians H = H (Du) is established, provided the discontinuous initial value function φ(x) is continuous outside a set Γ of measure zero and satisfies φ(x) ≥ φ**(x) ≡ li...
| Hauptverfasser: | , |
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| Format: | Journal article |
| Sprache: | English |
| Veröffentlicht: |
2003
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