Global existence of classical solutions to the minimal surface equation in two space dimensions with slow decay initial value

DOI10.1063/1.3215982zbMath1260.35070OpenAlexW1996970507MaRDI QIDQ3583642

Yu-Zhu Wang

Publication date: 17 August 2010

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

Full work available at URL: https://doi.org/10.1063/1.3215982

zbMATH Keywords

minimal surface equationinitial value problemsglobal existence of classical solutions

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Quasilinear elliptic equations with mean curvature operator (35J93) Classical solutions to PDEs (35A09)

Related Items (4)

Asymptotic behavior of solutions to the damped nonlinear hyperbolic equation ⋮ Global existence and asymptotic behavior of solutions for a semi-linear wave equation ⋮ Global existence of timelike minimal surface of general co-dimension in Minkowski space time ⋮ Global existence and asymptotic behavior of solutions to a nonlinear wave equation of fourth-order

Cites Work

• Unnamed Item
• Global existence theorem for semilinear wave equations with non-compact data in two space dimensions
• Wave character of metrics and hyperbolic geometric flow
• Global solutions of nonlinear hyperbolic equations for small initial data
• Uniform decay estimates and the lorentz invariance of the classical wave equation
• Long‐time behaviour of solutions of a system of nonlinear wave equations
• Global existence for nonlinear wave equations
• A remark on global existence for small initial data of the minimal surface equation in Minkowskian space time
• Life-span of classical solutions to fully nonlinear wave equations—II
• Hypersurfaces in Minkowski space with vanishing mean curvature

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