论文标题
半线性传输方程中系数的恢复
Recovery of coefficients in semilinear transport equations
论文作者
论文摘要
我们考虑时间依赖性半连接方程的逆问题。我们表明，线性（吸收或散射系数）的时间无关系数和非线性项可以通过稳定的方式从边界测量中唯一地确定线性测量方案和线性传输方程的Carleman估计。我们在欧几里得和一般几何设置中建立结果。
We consider the inverse problem for time-dependent semilinear transport equations. We show that time-independent coefficients of both the linear (absorption or scattering coefficients) and nonlinear terms can be uniquely determined, in a stable way, from the boundary measurements by applying a linearization scheme and Carleman estimates for the linear transport equations. We establish results in both Euclidean and general geometry settings.
