A remark on gradients of harmonic functions
Wensheng Wang
Abstract
Open-access reader
Wensheng Wang
Abstract
Open-access reader
In any C^{1,s} domain there is nonzero harmonic function C^1 continuous up to the boundary such that the function and its gradient on the boundary vanish on a set of positive measure.
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In any C^{1,s} domain there is nonzero harmonic function C^1 continuous up to the boundary such that the function and its gradient on the boundary vanish on a set of positive measure.
Key concepts: Harmonic, Harmonic function, Mathematics, Mathematical analysis, Mechanics, Geology, Physics, Acoustics