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arxiv: math/0210056 · v1 · submitted 2002-10-04 · 🧮 math.AP · math-ph· math.MP

A remark on Global existence for small initial data of the minimal surface equation in Minkowskian space time

classification 🧮 math.AP math-phmath.MP
keywords equationdataglobalinitialminimalsmallspacesurface
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We show that the nonlinear wave equation corresponding to the minimal surface equation in Minkowski space time has global solutions for sufficiently small initial data. This is an interesting model in Lorentziann and is also the equation for a membrane in field theory.

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