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Ruoyu P. T. Wang

Gibbs Assistant Professor
Dept. of Mathematics
Yale University

I (Ruoyu/Ro) am a Gibbs Assistant Professor at Yale University. I am also an Honorary Research Fellow at University College London.

My works are in the pure and applied analysis of PDE. I specialise in microlocal and semiclassical analysis. I am interested in problems from spectral and scattering theory, mathematical physics, control theory and dynamical systems.

Here is my curriculum vitae. I was a student of Jared Wunsch.

I am teaching MATH 110 in Fall 2024.

My email address is ruoyu.protect..wang@.protect.yale.e.protect.du. My office is Kline Tower 931.

Editorial requests for quick opinions and referee reports are welcomed.

Visits:

Publications:

[7] Weakly elliptic damping gives sharp decay
Submitted (from 2024/03), with Lassi Paunonen and Nicolas Vanspranghe.
[Weak ellipticity, degenerate damping]

[6] Optimal backward uniqueness and polynomial stability of second order equations with unbounded damping
Preprint (2023), with Perry Kleinhenz.
[First half of the manuscript. Updates with new tools expected by 2024/09.]

[5] Control estimates for 0th order pseudodifferential operators
Int. Math. Res. Not. IMRN (2024), with Hans Christianson and Jian Wang.
[Morse–Smale, limiting absorption principle, radial point estimates]

[4] Sharp polynomial decay for polynomially singular damping on the torus
Submitted (from 2023/05), with Perry Kleinhenz.
[normally \(L^p\), semiclassical Morawetz vector field, backward uniqueness]

[3] Stabilisation of waves on product manifolds by boundary strips
Proc. Amer. Math. Soc. (2024).
[transverse-to-product resolvent, transverse propagation estimate]

[2] Sharp polynomial decay for waves damped from the boundary in cylindrical waveguides
Math. Res. Lett. (2023).
[Morawetz vector field, quasimodes via special functions]

[1] Exponential decay for damped Klein-Gordon equations on asymptotically cylindrical and conic manifolds
Ann. Inst. Fourier (Grenoble) (2024).
[multiple-weight Carleman estimates, geometric control, noncompact manifolds]

Teaching:

I am teaching MATH 110: Introduction to Functions and Calculus I in 2024/08–12. Here are my office hours and a set of lecture notes.

External resources: