The inverse mean curvature flow as an obstacle problem
Reference:
Moser, R., 2008. The inverse mean curvature flow as an obstacle problem. Indiana University Mathematics Journal, 57 (5), pp. 2235-2256.
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Official URL:
http://dx.doi.org/10.1512/iumj.2008.57.3385
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Abstract
The inverse mean curvature flow is a geometric evolution problem that is turned into a degenerate elliptic problem by a level set formulation. In the latter form, it may be regarded as a special case of an obstacle problem. In this paper, solutions of the problem are constructed with an approximation by p-harmonic functions and the use of appropriate barrier functions. This also extends the known existence results for weak solutions of the inverse mean curvature flow.
Details
| Item Type | Articles | ||||
| Creators | Moser, R. | ||||
| DOI | 10.1512/iumj.2008.57.3385 | ||||
| Related URLs |
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| Uncontrolled Keywords | p-harmonic, inverse mean curvature flow, obstacle problem | ||||
| Departments | Faculty of Science > Mathematical Sciences | ||||
| Refereed | Yes | ||||
| Status | Published | ||||
| ID Code | 12465 |
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