Harmonic maps with prescribed singularities and applications in general\n relativity

2019/02/05 by Gilbert Weinstein, Weinstein, Gilbert
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Nonlinear Partial Differential Equations #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1902.01576

openalex publication_date 2019/02/05 · openalex created_date 2022/07/29 · openalex updated_date 2026/07/28

Abstract

This paper presents a general existence and uniqueness result for harmonic\nmaps with prescribed singularities into non-positively curved targets, and\nsurveys a number of applications to general relativity. It is based on a talk\ndelivered by the author at The 11th Mathematical Society of Japan Seasonal\nInstitute, The Role of Metrics in the Theory of Partial Differential Equations.\n

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