Adjoint and Compensated Compactness Methods for Hamilton–Jacobi PDE
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Adjoint and Compensated Compactness Methods for Hamilton–Jacobi PDE

  • Author(s): Evans, Lawrence C.
  • et al.
Abstract

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 σ ε of the adjoint of the formal linearization, and then to integrate by parts with respect to the density σ ε . This procedure leads to a natural phase space kinetic formulation and also to a new compensated compactness technique.

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