论文标题

通过边界测量值稳定地确定准线性椭圆方程中的非线性项

Stable determination of the nonlinear term in a quasilinear elliptic equation by boundary measurements

论文作者

Choulli, Mourad

论文摘要

我们建立了Lipschitz的稳定性不等式,即通过边界测量来确定准线性椭圆方程中的非线性项的问题。我们将基于线性化过程以及由线性化问题的基本解决方案构建的特殊解决方案提供了证明。

We establish a Lipschitz stability inequality for the problem of determining the nonlinear term in a quasilinear elliptic equation by boundary measurements. We give a proof based on a linearization procedure together with special solutions constructed from the fundamental solution of the linearized problem.

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