Existence and Smoothing for a Nondivergence-Form Degenerate Diffusion from Plasma-Wave Theory

William Porteous, Irene M. Gamba, Kun Huang

We prove existence, positive-time smoothing, and physical admissibility of weak solutions to the degenerate parabolic Cauchy-Dirichlet problem $\partial_t u = ρ_λ(x) u \partial_x^2…