Initial-boundary value problem for the equation of timelike extremal surfaces in Minkowski space

DOI10.1063/1.2890393zbMath1152.81536OpenAlexW1969299644MaRDI QIDQ5504884

Yi Zhou, Jianli Liu

Publication date: 23 January 2009

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/b16bb20ee587a9b8d1e69e2d6b0aea2cd993426b

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Variational problems concerning minimal surfaces (problems in two independent variables) (58E12)

Related Items (10)

A globally smooth solution to the relativistic string equation ⋮ Asymptotic behavior of global classical solutions to Goursat problem of quasilinear hyperbolic systems ⋮ Stability of traveling wave solutions to the initial-boundary value problem for diagonalizable quasilinear hyperbolic systems ⋮ Stability of traveling wave solutions to Cauchy problem of diagnolizable ⋮ Extremal surface with the light-like line in Minkowski space \(\mathbb{R}^{1+(1+1)}\) ⋮ Asymptotic behavior of classical solutions of reducible quasilinear hyperbolic systems with characteristic boundaries ⋮ Stability of traveling wave for the relativistic string equation in de Sitter spacetime ⋮ Riemann problem and wave interactions for the one-dimensional relativistic string equation in Minkowski space ⋮ The mixed initial-boundary value problem for diagonalizable quasilinear hyperbolic systems in the first quadrant ⋮ Global weak and smooth solutions of the equation for timelike extremal surface in Minkowski space

Cites Work

• Unnamed Item
• Global existence and asymptotic behavior of classical solutions of quasilinear hyperbolic systems with linearly degenerate characteristic fields
• The dynamics of relativistic strings moving in the Minkowski space \(\mathbb{R}^{1+n}\)
• Maximal space-like hypersurfaces in the Lorentz-Minkowski spaces
• Born-Infeld particles and Dirichlet \(p\)-branes
• Global classical solutions to quasilinear hyperbolic systems with weak linear degeneracy
• Global classical solutions to a kind of mixed initial-boundary value problem for quasilinear hyperbolic systems
• General solutions of nonlinear equations in the geometric theory of the relativistic string
• Asymptotic behavior of global classical solutions of quasilinear non-strictly hyperbolic systems with weakly linear degeneracy
• Propagation and cancellation of oscillations for hyperbolic systems of conservation laws
• Asymptotic behaviour of global classical solutions of diagonalizable quasilinear hyperbolic systems
• The initial‐value problem for measure‐valued solutions of a canonical 2 × 2 system with linearly degenerate fields
• Weak linear degeneracy and global classical solutions for general quasilinear hyperbolic systems
• A remark on global existence for small initial data of the minimal surface equation in Minkowskian space time
• Asymptotic Behavior of Global Classical Solutions of Quasilinear Hyperbolic Systems
• Global existence for small initial data in the Born–Infeld equations
• Global classical solutions for general quasilinear hyperbolic systems with decay initial data
• Integrals of periodic motion for the classical equations of a relativistic string with masses at its ends

This page was built for publication: Initial-boundary value problem for the equation of timelike extremal surfaces in Minkowski space