We consider two notions of weak solutions for the evolutive Hamilton-Jacobi equation: the viscosity and the variational solutions. For globally compactly supported Hamiltonians, we introduce iterative min-max procedures -for time intervals tending to zero- in order to recover viscosity solutions. Finally, we discuss an application to the stationary Hamilton-Jacobi equation.
We consider two notions of weak solutions for the evolutive Hamilton-Jacobi equation: the viscosity and the variational solutions. For globally compactly supported Hamiltonians, we introduce iterative min-max procedures -for time intervals tending to zero- in order to recover viscosity solutions. Finally, we discuss an application to the stationary Hamilton-Jacobi equation.
Viscosity solutions of the evolutive Hamilton-Jacobi equation by limiting variational methods. With a look to the stationary case.
CAMPEDELLI, GAIA
2022/2023
Abstract
We consider two notions of weak solutions for the evolutive Hamilton-Jacobi equation: the viscosity and the variational solutions. For globally compactly supported Hamiltonians, we introduce iterative min-max procedures -for time intervals tending to zero- in order to recover viscosity solutions. Finally, we discuss an application to the stationary Hamilton-Jacobi equation.File | Dimensione | Formato | |
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https://hdl.handle.net/20.500.12608/46187