Adjoint and compensated compactness methods for Hamilton–Jacobi PDE
نویسنده
چکیده
We investigate the vanishing viscosity limit for Hamilton-Jacobi PDE with nonconvex Hamiltonians, and present a new method to augment the standard viscosity solution approach. The main idea is to introduce a solution σε of the adjoint of the formal linearization, and then to integrate by parts with respect to the density σε. This procedure leads to a natural phase space kinetic formulation and also a new compensated compactness technique.
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تاریخ انتشار 2009