descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Apr 2021Embargo end date: 01 Jan 2021 English Publisher:Elsevier BVJournal:Journal of Differential Equations, volume 279, pages 245-281 (issn: 0022-0396,

Authors: Kuusi, Tuomo; Misawa, Masashi; Nakamura, Kenta;

doi: 10.1016/j.jde.2021.01.018 , 10.48550/arxiv.2103.15817

arXiv: http://arxiv.org/abs/2103.15817

handle: 10138/354086

Global existence for the p-Sobolev flow

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Abstract

In this paper, we study a doubly nonlinear parabolic equation arising from the gradient flow for p-Sobolev type inequality, referred as p-Sobolev flow. In the special case p=2 our theory includes the classical Yamabe flow on a bounded domain in Euclidean space. Our main aim is to prove the global existence of the p-Sobolev flow together with its qualitative properties.

arXiv admin note: text overlap with arXiv:2103.15259

Related Organizations

Kumamoto University
Japan
University of Helsinki
Finland

Keywords

p-Sobolev flow, Mathematics - Analysis of PDEs, CONVERGENCE, FOS: Mathematics, LOCAL BEHAVIOR, Nonlinear intrinsic scaling transformation, 35B45 (35B65 35D30 35K61), Expansion of positivity, EQUATIONS, Mathematics, Analysis of PDEs (math.AP)

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