Singularities of axially symmetric time-like minimal submanifolds in Minkowski space-Reference-Cited by-同舟云学术

Singularities of axially symmetric time-like minimal submanifolds in Minkowski space

Published:2018-03 Issue:01 Volume:15 Page:1-13
ISSN:0219-8916
Container-title:Journal of Hyperbolic Differential Equations
language:en
Short-container-title:J. Hyper. Differential Equations

Author:

Wong Willie Wai Yeung¹

Affiliation:

1. Department of Mathematics, Michigan State University, USA

Abstract

We prove that there does not exist global-in-time axisymmetric solutions to the time-like minimal submanifold system in Minkowski space. We further analyze the limiting geometry as the maximal time of existence is approached.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics,Analysis

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219891618500017

Reference25 articles.

1. The null condition for quasilinear wave equations in two space dimensions I

2. The null condition for quasilinear wave equations in two space dimensions, II

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

4. Theory of strings and membranes in an external field. I. General formulation

5. Closure and Convexity Results for Closed Relativistic Strings

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Global stability of the plane wave solutions to the relativistic string equation with non-small perturbations;Science China Mathematics;2024-08-15

2. The time-like minimal surface equation in Minkowski space: low regularity solutions;Inventiones mathematicae;2023-12-07

3. Estimation of Non-Linear Parameters with Data Collected Using Respondent-Driven Sampling;Mathematics;2020-08-07

4. Embeddedness of Timelike Maximal Surfaces in $$(1+2)$$-Minkowski Space;Annales Henri Poincaré;2020-07-24

5. GLOBAL NEARLY-PLANE-SYMMETRIC SOLUTIONS TO THE MEMBRANE EQUATION;Forum of Mathematics, Pi;2020