Highly degenerate parabolic boundary value problems
Jerome A. Goldstein, Chin Yuan Lin · Differential and Integral Equations · 1989
Of concern are parabolic equations of the formwhere cp(x, ~) > 0 on n X IRn but cp(x, 0 --+ 0 very rapidly as X --+ an.By associating the Wentzel boundary condition with this equation, the initial value problem is shown to be well-posed.This is done with the aid of the Crandall-Liggett theorem, applied in the space C(O).