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math.AP2022
Sharp estimates and size of nodal sets for generalized Steklov eigenfunctions
Xiaoqi Huang, Yannick Sire, Xing Wang +1
We prove sharp estimates for the Steklov eigenfunctions on compact manifolds with boundary in terms of their norms on the boundary. We prove it by establishing bo…
nlin.SI2022★ 5 cited
Nonlinear Schrödinger equation on the half-line without a conserved number of solitons
Vincent Caudrelier, Nicolas Crampe, Eric Ragoucy +1
We explore the phenomena of absorption/emission of solitons by an integrable boundary for the nonlinear Schrödinger equation on the half-line. This is based on the investigation of…