TIMELIKE MINIMAL SUBMANIFOLDS OF GENERAL CO-DIMENSION IN MINKOWSKI SPACE TIME-Reference-Cited by-同舟云学术

TIMELIKE MINIMAL SUBMANIFOLDS OF GENERAL CO-DIMENSION IN MINKOWSKI SPACE TIME

Published:2006-12 Issue:04 Volume:03 Page:691-700
ISSN:0219-8916
Container-title:Journal of Hyperbolic Differential Equations
language:en
Short-container-title:J. Hyper. Differential Equations

Author:

ALLEN PAUL¹,ANDERSSON LARS²³,ISENBERG JAMES¹

Affiliation:

1. Department of Mathematics, University of Oregon, Eugene, OR 97403, USA

2. Department of Mathematics, University of Miami, Coral Gables, FL 33124, USA

3. Albert Einstein Institute, Max Planck Institute for Gravitational Physics, D-14476 Potsdam, Germany

Abstract

We consider the timelike minimal surface problem in Minkowski spacetimes and show local and global existence of such surfaces having arbitrary dimension ≥ 2 and arbitrary co-dimension, provided they are initially close to a flat plane.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics,Analysis

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219891606000963

Reference10 articles.

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3. Almost global existence for quasilinear wave equations in three space dimensions

4. Weighted L∞ and L1 estimates for solutions to the classical wave equation in three space dimensions

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