Sign up ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.

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

share|cite|improve this question
Is this the same as the hypersingular integral potential? –  timur Sep 11 '11 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 '11 at 3:27

1 Answer 1

up vote 2 down vote accepted

Here's a reference to a paper by Shidong Jiang which may be useful as regards jump relations :

share|cite|improve this answer

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.