Rotationally symmetric p-harmonic flows from D^2 to S^2: local well-posedness and blow-up
Analysis of PDEs
2013-05-29 v1
Abstract
We study the -harmonic flow from the unit disk to the unit sphere under rotational symmetry. We show that the Dirichlet problem with constant boundary conditions is locally well-posed in the class of classical solutions and we also give a sufficient criterion, in terms of the boundary condition, for the derivative of the solutions to blow-up in finite time.
Keywords
Cite
@article{arxiv.1305.6552,
title = {Rotationally symmetric p-harmonic flows from D^2 to S^2: local well-posedness and blow-up},
author = {Razvan Gabriel Iagar and Salvador Moll},
journal= {arXiv preprint arXiv:1305.6552},
year = {2013}
}