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math.AP2018★ 3 cited
Global generalized characteristics for the Dirichlet problem for Hamilton-Jacobi equations at a supercritical energy level
Piermarco Cannarsa, Wei Cheng, Marco Mazzola +1
We study the nonhomogeneous Dirichlet problem for first order Hamilton-Jacobi equations associated with Tonelli Hamiltonians on a bounded domain of assuming the energy l…
math.AP2014★ 17 cited
Global Propagation of Singularities for Time Dependent Hamilton-Jacobi Equations
Piermarco Cannarsa, Marco Mazzola, Carlo Sinestrari
We investigate the properties of the set of singularities of semiconcave solutions of Hamilton-Jacobi equations of the form \begin{equation*} u_t(t,x)+H(\nabla u(t,x))=0, \qquad\te…