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...
Egile Nagusiak: | , |
---|---|
Formatua: | Journal article |
Hizkuntza: | English |
Argitaratua: |
2003
|