Abstract

We consider an inhomogeneous boundary value problem for a system of semilinear elliptic equations modeling radiative heat transfer with Fresnel matching conditions on the surfaces of discontinuity of the refractive index. The unique solvability of the boundary value problem is proved without requiring the initial data to be small.

中文翻译：

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具有菲涅尔匹配条件的复热传递方程的非齐次边值问题

摘要

我们考虑了半线性椭圆方程组的不均匀边值问题，该半线性椭圆方程组在折射率不连续的表面上模拟了具有菲涅耳匹配条件的辐射传热。证明了边值问题的独特可解性，而无需初始数据很小。