拟线性椭圆方程非线性项的边界测量稳定确定

Pub Date : 2023-11-10 DOI:10.5802/crmath.484
Mourad Choulli
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引用次数: 3

摘要

对于用边界测量确定拟线性椭圆方程非线性项的问题,建立了一个Lipschitz稳定性不等式。我们给出了一个基于线性化过程的证明,以及由线性化问题的基本解构造的特解。
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Stable determination of the nonlinear term in a quasilinear elliptic equation by boundary measurements
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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