Jiuyi Zhuمشاهده پروفایل
دانشیار
Jiuyi Zhu is an Associate Professor in the Department of Mathematics at Louisiana State University (LSU). His research focuses on partial differential equations, harmonic analysis, spectral theory, and geometric analysis. Specific interests include geometric properties of eigenfunctions, quantitative uniqueness of PDE solutions, elliptic homogenization, nonlinear PDEs, and geometric inequalities. Dr. Zhu has an extensive publication record in top journals such as Archive for Rational Mechanics and Analysis, SIAM Journal on Mathematical Analysis, and Communications in Partial Differential Equations. His work often bridges theoretical analysis with applications in mathematical physics and spectral geometry. Recent research trends emphasize spectral inequalities, quantitative unique continuation, and nodal set analysis in elliptic equations and Schrödinger operators. Outreach activities include demonstrations of Chladni patterns, K-12 math outreach, and undergraduate projects on vibrations and isoperimetric inequalities. His contributions to the field include groundbreaking studies on doubling inequalities, critical sets in periodic homogenization, and boundary value problems for eigenfunctions. While no specific grants or awards are listed, his work reflects sustained engagement with foundational and applied aspects of PDE theory.









