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What is known about the quadruple layer potential in 3D (on closed smooth surfaces)? In terms of jump relations, continuity on Hölder Spaces (and/or Sobolev spaces), and Calderon-type identities (regularization). I'm interested in the Laplace and also the Helmholtz case (the acoustic problem). Thanks

edited May 29 at 20:02

Pietro Majer
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asked Sep 10 2011 at 22:45

Felipe
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	Is this the same as the hypersingular integral potential? – timur Sep 11 2011 at 3:17
	Timur, no- the kernel is of the form $\frac{\partial^2 G}{\partial n_x^2}(x,y)$. – Nilima Nigam Sep 11 2011 at 3:27

Nilima Nigam · Accepted Answer · 2011-09-11 00:13:21Z UTC

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Here's a reference to a paper by Shidong Jiang which may be useful as regards jump relations : http://web.njit.edu/~jiang/Papers/jump.pdf

answered Sep 11 2011 at 0:13

Nilima Nigam
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Properties of the quadruple layer potential

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