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

Hans Lindblad
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Abstract

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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Hans Lindblad. 2002-10-04. A remark on Global existence for small initial data of the minimal surface equation in Minkowskian space time. https://arxiv.org/abs/math/0210056

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