Global existence of smooth solutions to relativistic string equations in Schwarzschild space-time for small initial data

DOI10.1142/S0219891616500053zbMath1334.35344arXiv1002.1357MaRDI QIDQ2798341

Shou-jun Huang, De-Xing Kong, Chun-Lei He

Publication date: 12 April 2016

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.1357

zbMATH Keywords

global existencenonlinear wave equationclassical solutionevent horizonSchwarzschild space-timerelativistic string

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40) PDEs in connection with relativity and gravitational theory (35Q75)

Related Items (2)

A globally smooth solution to the relativistic string equation ⋮ Stability of traveling wave for the relativistic string equation in de Sitter spacetime

Cites Work

• Complete extremal surfaces of mixed type in 3-dimensional Minkowski space
• Global classical solutions to quasilinear hyperbolic systems with weak linear degeneracy
• General solutions of nonlinear equations in the geometric theory of the relativistic string
• Solution formula and time-periodicity for the motion of relativistic strings in the Minkowski space \(\mathbb R^{1+n}\)
• TIMELIKE MINIMAL SUBMANIFOLDS OF GENERAL CO-DIMENSION IN MINKOWSKI SPACE TIME
• The equation for time-like extremal surfaces in Minkowski space R2+n
• Foundations of the new field theory
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