Lower bounds for nodal set of biharmonic Steklov problems
classification
🧮 math.DG
keywords
biharmonicnodalsteklovboundaryboundsestablishloweroperators
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We use layer potential to establish that the boundary biharmonic Steklov operators are elliptic pseudo-differential operators. Thus we are able to establish lower bounds on both the measure of boundary nodal sets and interior nodal sets for biharmonic Steklov eigenfunctions.
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