S. Chandler-Wilde

activity

20102026

most citedInterpolation of Hilbert and Sobolev Spaces: Quantitative Estimates and Counterexamples

63 citations · 217 across the 29 of their papers we have counts for

collaborators

Showing 2016Show all

2 papers · 1 filter

math.AP2016

Well-posed PDE and integral equation formulations for scattering by fractal screens

Simon N. Chandler-Wilde, David P. Hewett

We consider time-harmonic acoustic scattering by planar sound-soft (Dirichlet) and sound-hard (Neumann) screens embedded in $R^{n}$ for $n = 2$ or $3$ . In contrast to previo…

math.FA2016★ 55 cited

Sobolev spaces on non-Lipschitz subsets of $R^{n}$ with application to boundary integral equations on fractal screens

Simon N. Chandler-Wilde, David P. Hewett, Andrea Moiola

We study properties of the classical fractional Sobolev spaces (or Bessel potential spaces) on non-Lipschitz subsets of $R^{n}$ . We investigate the extent to which the prope…

Well-posed PDE and integral equation formulations for scattering by fractal screens

Sobolev spaces on non-Lipschitz subsets of Rn with application to boundary integral equations on fractal screens

Sobolev spaces on non-Lipschitz subsets of $R^{n}$ with application to boundary integral equations on fractal screens