Summary
The Crandall-Liggett theorem is applied to
with various boundary conditions. Moreover, the ellipticity of the operator on the right hand side is allowed to degenerate (mildly) on the spatial boundary.
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Goldstein, J.A., Lin, C.Y. AnL p Semigroup Approach to Degenerate Parabolic Boundary Value Problems. Annali di Matematica pura ed applicata 159, 211–227 (1991). https://doi.org/10.1007/BF01766302
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DOI: https://doi.org/10.1007/BF01766302