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Can the non divergence form operator $\mathcal{L}u= u_{xx}+u_{yy} + u_x=\Delta u + u_x$ be put in divergence form? In general, can any constant coefficient non divergence form operator be put into divergence form?

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    http://home.iitk.ac.in/~tmk/courses/minicourse/FAPDE/BasicPDE.pdf2016-09-29

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