Nonlinear energy forms and Lipschitz spaces on the infinite Koch curve

We consider the nonlinear convex energy forms epsilon(K )((P)) on the infinite K- curve and we prove that the corresponding domains F-K ((p)) coincide with the spaces Lip(delta,df)(p, infinity, K-), where delta = log 3/log 4

semilinear evolution problems with ventcel type conditions on fractal boundaries

A semilinear parabolic transmission problem with Ventcel's boundary conditions on a fractal interfaceSor the corresponding prefractal interfaceShis 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

On two-dimensional nonlocal Venttsel' problems in piecewise smooth domains

We establish the regularity results for solutions of nonlocal Venttsel' problems in polygonal and piecewise smooth two-dimensional domains

PARABOLIC TRANSMISSION PROBLEMS ACROSS IRREGULAR LAYERS

We study second order transmission problems across either a fractal surface or across the corresponding pre-fractal surface. Existence uniqueness and regularity results for the strict solution in both cases are proved.The asymptotic behaviour of the solutions of the approximating problems is also investigated.We study second order transmission problems across either a fractalsurface or across the corresponding pre-fractal surface. Existence uniqueness and regularity results for the strict solution in both cases are proved.The asymptotic behaviour of the solutions of the approximating problems is also investigated

PARABOLIC TRANSMISSION PROBLEMS ACROSS IRREGULAR LAYERS

We study second order transmission problems across either a fractal surface or across the corresponding pre-fractal surface. Existence uniqueness and regularity results for the strict solution in both cases are proved.The asymptotic behaviour of the solutions of the approximating problems is also investigated.We study second order transmission problems across either a fractalsurface or across the corresponding pre-fractal surface. Existence uniqueness and regularity results for the strict solution in both cases are proved.The asymptotic behaviour of the solutions of the approximating problems is also investigated