L 2-contraction of Large Planar Shock Waves for Multi-dimensional Scalar Viscous Conservation Laws

We consider a L-contraction (a L-type stability) of large viscous shock waves for the multi-dimensional scalar viscous conservation laws, up to a suitable shift. The shift function, depending both on the time and space variables, solves a viscous HamiltonJacobi equation with source terms. We consider a suitably small L-perturbation around a viscous planar… CONTINUE READING