Journal
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S
Volume 3, Issue 2, Pages 221-230Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/dcdss.2010.3.221
Keywords
Dimension theory; Poincare recurrences; multifractal analysis
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Funding
- NSF [0724865]
- Directorate For Geosciences
- Division Of Earth Sciences [0724865] Funding Source: National Science Foundation
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We illustrate the use of the Dirichlet to Neumann map for elliptic and parabolic problems in the context of the Stokes problems. An analogous representation to that obtained by Solonnikov in [5] for the case of a sphere is given for the half space problem. The validity of this representation is obtained establishing properties of the DtN map for the Laplace and Heat operators.
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