Upper bounds of nodal sets for solutions of bi-Laplace equations
Prof. Jiuyi Zhu
2025-07-04 10:30-11:30
MCM110
Speaker: Prof. Jiuyi Zhu (Louisiana State University)
Time: 10:30-11:30 July 4th, 2025 (Friday)
Venue: MCM110
Title: Upper bounds of nodal sets for solutions of bi-Laplace equations
Abstract: We investigate the nodal sets for solutions of bi-Laplace equations without using frequency functions. We obtain some delicate monotonicity and propagation of smallness results by Carleman estimates. A polynomial upper bound for the nodal sets of solutions is obtained.
