Quasilinear Evolution Equations in Nonclassical Diffusion
KENNETH L. KUTTLER, Elias C. Aifantis · SIAM Journal on Mathematical Analysis · 1988
After describing the motivation leading to some nonclassical diffusion equations, we formulate a general abstract nonlinear evolution equation and establish existence of solutions. Then we return to the original equation and discuss particular initial-boundary value problems.