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

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

2002-10-04

arxiv.org/abs/math/0210056v1

Mathematics

Analysis of PDEs

Scientific paper

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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