- Title
- On the existence of translating solutions of mean curvature flow in slab regions
- Creator
- Bourni, Theodora; Langford, Mat; Tinaglia, Giuseppe
- Relation
- Analysis & PDE Vol. 13, Issue 4, p. 1051-1072
- Publisher Link
- http://dx.doi.org/10.2140/apde.2020.13.1051
- Publisher
- Mathematical Sciences Publishers
- Resource Type
- journal article
- Date
- 2020
- Description
- We prove, in all dimensions n≥2, that there exists a convex translator lying in a slab of width πsecθ in Rn+1 (and in no smaller slab) if and only if θ∈[0,π2]. We also obtain convexity and regularity results for translators which admit appropriate symmetries and study the asymptotics and reflection symmetry of translators lying in slab regions.
- Subject
- mean curvature flow; translators; ancient solutions; slab regions
- Identifier
- http://hdl.handle.net/1959.13/1445089
- Identifier
- uon:42495
- Identifier
- ISSN:2157-5045
- Language
- eng
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