✦ LIBER ✦
Harmonic and quasi-harmonic spheres, part III. Rectifiablity of the parabolic defect measure and generalized varifold flows
✍ Scribed by FangHua Lin; ChangYou Wang
- Book ID
- 104324215
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 364 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0294-1449
No coin nor oath required. For personal study only.
✦ Synopsis
We study weakly convergent sequences of suitable weak solutions of heat flows of harmonic maps or approximated harmonic maps. We prove a dimensional stratification for the space-time concentration measure and verify that the concentration measure, viewed as a generalized varifold, moves according to the generalized varifold flow rule which reduces to the Brakke's flow of varifold provided that the limiting harmonic map flow is suitable. We also establish an energy quantization for the density of the limiting varifold. 2002 Éditions scientifiques et médicales Elsevier SAS