Revista Matemática Iberoamericana
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Published online: 2007-04-30
Nonvariational layer potentials with respect to H¨older continuous vector fieldsGregory C. Verchota (1) Syracuse University, USA
Nontangential a.e. vanishing of the oblique derivative of a harmonic function with respect to a Hölder continuous vector field on a Lipschitz boundary is shown to imply that the harmonic function is constant.
Keywords: Oblique derivative, Lipschitz domain, uniqueness
Verchota Gregory: Nonvariational layer potentials with respect to H¨older continuous vector fields. Rev. Mat. Iberoam. 23 (2007), 201-212. doi: 10.4171/RMI/491