Global regularity for the minimal surface equation in Minkowskian geometry

DOI10.1515/FORM.2011.027zbMath1229.35143OpenAlexW2128453283MaRDI QIDQ3020566

Atanas G. Stefanov

Publication date: 4 August 2011

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/form.2011.027

zbMATH Keywords

quasilinear wave equationsmall solutionsglobal regularityminimal surface equation in Minkowski space

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (2)

The time-like minimal surface equation in Minkowski space: low regularity solutions ⋮ Almost sharp nonlinear scattering in one-dimensional Born-Infeld equations arising in nonlinear electrodynamics

Cites Work

• Strichartz estimates for second order hyperbolic operators with nonsmooth coefficients III
• TIMELIKE MINIMAL SUBMANIFOLDS OF GENERAL CO-DIMENSION IN MINKOWSKI SPACE TIME
• Asymptotic behaviour of global classical solutions of diagonalizable quasilinear hyperbolic systems
• Commutator estimates and the euler and navier-stokes equations
• Global existence for nonlinear wave equations
• Endpoint Strichartz estimates
• A remark on global existence for small initial data of the minimal surface equation in Minkowskian space time
• Global existence for small initial data in the Born–Infeld equations

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