Asymptotic convergence of trasmission energy forms
Asymptotic convergence of trasmission energy forms
Summary: We consider second-order transmission problems for prefractal layers approximating the Koch curve. We prove, in a suitable function space, the convergence of the solutions to these problems to the solutions of the related transmission problems on the fractal asymptotic curve.
Besov spaces on d-sets, Fractals, Sobolev spaces on polygonal curves, energy forms, Unilateral problems for linear elliptic equations and variational inequalities with linear elliptic operators, ., Koch curve, Theoretical approximation in context of PDEs, Asymptotic convergence, transmission problems
Besov spaces on d-sets, Fractals, Sobolev spaces on polygonal curves, energy forms, Unilateral problems for linear elliptic equations and variational inequalities with linear elliptic operators, ., Koch curve, Theoretical approximation in context of PDEs, Asymptotic convergence, transmission problems
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