Findings derive a crucial theorem about nonlinear partial differential equations using numerical methods.
From a Minkowski-type metric on R n + satisfying the Einstein condition, we derived a nonlinear partial differential equation.We tried to get some numerical approximate solution with certain boundary conditions by the finite element method in [10].Regarding the exact solution, we shall give a fundamental theorem, which tells us the above numerical approximate solution is not worth to using the word "approximate".
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Tominosuke Ôtsuki (1997) studied this question.
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