We study the well-posedness and regularity theory for the Radiative Transfer equation in the peaked regime posed in the half-space. An average lemma for the transport equation in the half-space is stablished and used to generate interior regularity for solutions of the model. The averaging also shows a fractional regularization gain up to the boundary for the spatial derivatives.

中文翻译：

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半空间中长程相互作用的辐射传递

我们研究了半空间中峰值状态下辐射传递方程的适定性和正则性理论。半空间中传输方程的平均引理被建立并用于生成模型解的内部规则性。平均还显示了一个分数正则化增益，直到空间导数的边界。