Theoretical analysis shows existence of Green’s function for heat operator under Zaremba conditions in Lipschitz bounded domains.
A parabolic initial-boundary value problem with homogeneous Zaremba boundary conditions in a cylinder whose base is a strictly Lipschitz bounded domain is considered, for which a theorem of the existence and uniqueness of the Green’s function is proved.
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A. G Chechkina (2025) studied this question.
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