Linear reaction–diffusion equations with inhomogeneous boundary and transmission conditions are shown to possess the property of maximal \(L_\mathrm{p}\) regularity. The new feature is the fact that the transmission interface is allowed to intersect the boundary of the domain transversally.

中文翻译：

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抛物线传递问题的最大正则性

具有非均匀边界和传输条件的线性反应扩散方程被证明具有最大\（L_ \ mathrm {p} \） 正则性。新功能是允许传输接口横向与域边界相交。