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math.AP2024
Boundary quantitative unique continuation for solutions of elliptic equations
Jack Dalberg, Jiuyi Zhu
We study the quantitative unique continuation on the boundary for solutions of elliptic equations with Neumann boundary conditions for bounded potentials and boundary potentials on…
math.OC2024
Observability inequalities for heat equations with potentials
Jiuyi Zhu, Jinping Zhuge
This paper is mainly concerned with the observability inequalities for heat equations with time-dependent Lipschtiz potentials. The observability inequality for heat equations asse…
math.AP2024
Spectral inequalities for Schrödinger equations with various potentials
Jiuyi Zhu
We study the spectral inequalities of Schrödinger operator in the whole space for different potentials, which can be power growth or continuously vanishing at infinity. The spectra…