We construct multiplicative Green’s (or ∗Green’s) function for ∗Sturm-Liouville (∗SL) equation. The basic properties of ∗Green’s function are given. Then, ∗SL equation is evaluated by using ∗Green’s ...
Optimal pointwise estimates are derived for the biharmonic Green function under Dirichlet boundary conditions in arbitrary C4,γ-smooth domains. Maximum principles do not exist for fourth order ...
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