Global existence and partial regularity for the \(p\)-harmonic flow
type: Item
instance of: scholarly article
title: Global existence and partial regularity for the \(p\)-harmonic flow
zbMATH Open document ID: 1489.58007
author: Masashi Misawa
published in: Calculus of Variations and Partial Differential Equations
publication date: 2019-02-28T00:00:00Z
review text: The author proves a global existence for the Cauchy problem with large initial data for the \(p\)-harmonic flow between two smooth, compact Riemannian manifolds. New monotonicity type formulas of a local scaled energy are devised, and a partial regularity for the solution is established. The partial regularity obtained is almost optimal, comparing with that of the corresponding stationary case. The \(p\)-harmonic flow obtained also converges to a \(p\)-harmonic map along a certain time sequence tending to infinity.
reviewed by: Vladimir Balan
Mathematics Subject Classification ID: 58E20
Mathematics Subject Classification ID: 35B45
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 35D30
Mathematics Subject Classification ID: 35J47
Mathematics Subject Classification ID: 35K40
Mathematics Subject Classification ID: 35K59
Mathematics Subject Classification ID: 35K65
zbMATH DE Number: 7031152
zbMATH Keywords: global existence
zbMATH Keywords: Cauchy problem
zbMATH Keywords: \(p\)-harmonic flow
zbMATH Keywords: \(p\)-harmonic map
zbMATH Keywords: monotonicity
zbMATH Keywords: partial regularity
MaRDI profile type: Publication
full work available at URL: s00526-019-1500-9
OpenAlex ID: W2917387477
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Wikidata QID: Q128386718
DOI: 10.1007/S00526-019-1500-9
description: scientific article; zbMATH DE number 7031152