Semilinear Evolution Problems with Ventcel-Type Conditions on Fractal Boundaries
Maria Rosaria Lancia, Paola Vernole · International Journal of Partial Differential Equations · 2014
A semilinear parabolic transmission problem with Ventcel's boundary conditions on a fractal interface S or the corresponding prefractal interface Sh is studied. Regularity results for the solution in both cases are proved. The asymptotic behaviour of the solutions of the approximating problems to the solution of limit fractal problem is analyzed.