Lower bound for energies of harmonic tangent unit-vector fields on convex polyhedra

A Majumdar; JM Robbins; M Zyskin

doi:10.1007/s11005-004-4295-2

Lower bound for energies of harmonic tangent unit-vector fields on convex polyhedra

A Majumdar, JM Robbins, M Zyskin

Research output: Contribution to journal › Article (Academic Journal) › peer-review

5 Citations (Scopus)

Abstract

We derive a lower bound for energies of harmonic maps of convex polyhedra in R-3 to the unit sphere S-2, with tangent boundary conditions on the faces. We also establish that C-infinity maps satisfying tangent boundary conditions are dense with respect to the Sobolev norm in the space of continuous tangent maps of finite energy.

Translated title of the contribution	Lower bound for energies of harmonic tangent unit-vector fields on convex polyhedra
Original language	English
Pages (from-to)	169 - 183
Number of pages	15
Journal	Letters in Mathematical Physics
Volume	70 (2)
DOIs	https://doi.org/10.1007/s11005-004-4295-2
Publication status	Published - Nov 2004

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Publisher: Springer
Other identifier: IDS Number: 886DM

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10.1007/s11005-004-4295-2

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@article{f9430a6eba314be18e879f66229ef136,

title = "Lower bound for energies of harmonic tangent unit-vector fields on convex polyhedra",

abstract = "We derive a lower bound for energies of harmonic maps of convex polyhedra in R-3 to the unit sphere S-2, with tangent boundary conditions on the faces. We also establish that C-infinity maps satisfying tangent boundary conditions are dense with respect to the Sobolev norm in the space of continuous tangent maps of finite energy.",

author = "A Majumdar and JM Robbins and M Zyskin",

note = "Publisher: Springer Other identifier: IDS Number: 886DM ",

year = "2004",

month = nov,

doi = "10.1007/s11005-004-4295-2",

language = "English",

volume = "70 (2)",

pages = "169 -- 183",

journal = "Letters in Mathematical Physics",

issn = "0377-9017",

publisher = "Springer Netherlands",

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TY - JOUR

T1 - Lower bound for energies of harmonic tangent unit-vector fields on convex polyhedra

AU - Majumdar, A

AU - Robbins, JM

AU - Zyskin, M

N1 - Publisher: Springer Other identifier: IDS Number: 886DM

PY - 2004/11

Y1 - 2004/11

N2 - We derive a lower bound for energies of harmonic maps of convex polyhedra in R-3 to the unit sphere S-2, with tangent boundary conditions on the faces. We also establish that C-infinity maps satisfying tangent boundary conditions are dense with respect to the Sobolev norm in the space of continuous tangent maps of finite energy.

AB - We derive a lower bound for energies of harmonic maps of convex polyhedra in R-3 to the unit sphere S-2, with tangent boundary conditions on the faces. We also establish that C-infinity maps satisfying tangent boundary conditions are dense with respect to the Sobolev norm in the space of continuous tangent maps of finite energy.

U2 - 10.1007/s11005-004-4295-2

DO - 10.1007/s11005-004-4295-2

M3 - Article (Academic Journal)

VL - 70 (2)

SP - 169

EP - 183

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

SN - 0377-9017

ER -

Lower bound for energies of harmonic tangent unit-vector fields on convex polyhedra

Abstract

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