Sobolev Spaces on Non-Lipschitz Subsets of $${\mathbb {R}}^n$$ R n with Application to Boundary Integral Equations on Fractal Screens

Author:

Chandler-Wilde S. N.,Hewett D. P.ORCID,Moiola A.ORCID

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory,Analysis

Reference60 articles.

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2. Adams, R.A.: Sobolev Spaces. Academic Press, Cambridge (1973)

3. Amrouche, C., Bernardi, C., Dauge, M., Girault, V.: Vector potentials in three-dimensional non-smooth domains. Math. Methods Appl. Sci. 21, 823–864 (1998)

4. Bagby, T., Castañeda, N.: Sobolev spaces and approximation problems for differential operators. In: Approximation, Complex Analysis, and Potential Theory, pp. 73–106. Springer (2001)

5. Brezis, H.: Functional Analysis, Sobolev Spaces and Partial Differential Equations. Springer, Berlin (2011)

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