
doi: 10.1137/090761173
handle: 11573/229440
We study a nonsteady transmission problem across either a fractal layer S or the corresponding prefractal layer $S_h$. The transmission condition is of order two. Existence, uniqueness, and regularity results for the strict solution, in both cases, are established as well as convergence results for the solutions of the approximating problems in varying Hilbert spaces.
asymptotic convergence; energy forms; semigroups; trace theorems; transmission problems; varying hilbert spaces; von koch surfaces
asymptotic convergence; energy forms; semigroups; trace theorems; transmission problems; varying hilbert spaces; von koch surfaces
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