Conditions on the proximal subdifferential of the initial datum are provided for the existence of singular generalized characteristics starting at t=0 in solutions to a class of evolutionary Hamilton-Jacobi equations.
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Generation of singularities from the initial datum for Hamilton-Jacobi equations
Conditions on the proximal subdifferential of the initial datum are provided for the existence of singular generalized characteristics starting at t=0 in solutions to a class of evolutionary Hamilton-Jacobi equations.