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Necessary geometric and analytic conditions for general estimates in the $\dib$-Neumann problem
Necessary geometric the $\dib$-Neumann problem
2010/11/11
We show that a general estimate in the $\dib$-Neumann problem implies a upper bound on the order of contact of a complex curve with the boundary and a lower bound on the rate of the Levi form of a bou...
Heat kernel estimates for the $\bar\partial$-Neumann problem on $G$-manifolds
Heat kernel estimates $\bar\partial$-Neumann problem $G$-manifolds
2010/12/13
We prove heat kernel estimates for the ¯@-Neumann Laplacian acting in spaces of differential forms over noncompact manifolds with a Lie group symmetry and compact quotient. We
also relate our ...
Notes on Neumann Problem for Schrodinger Operators in Weighted Lipschitz Domains
Schrodinger equation Neumann problem weighted Lipschitz domains
2012/9/27
Let Ω be a bounded Lipschitz domain in ,nRn≥3 . Let 0()QQQααω =|− |, where 0Q is a fixed point on Ω∂ . For Schrödinger equation 0 uVu −Δ+ = in Ω , with singular non-neg...