Rotationally symmetric p-harmonic flows from D² to S²: local well-posedness and blow-up

2013/05/28 by Iagar, Razvan Gabriel, Moll, Salvador
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1305.6552

Abstract

We study the p-harmonic flow from the unit disk D² to the unit sphere S² 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.

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