I am a 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 mentored by Jeffrey Galkowski.

I am not teaching in 2023–2024. Editorial requests for referee reports are welcomed.

My email address is ruoyu.protect..wang@.protect.ucl.ac.protect..uk. My office is Room 600, 25 Gordon St..

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Visits:

• From Microlocal to Global Analysis @MIT, 05/10–12.
• IHÉS, and Université Paris–Saclay, Orsay, 05/20–06/01.
• Paris-Saclay conference in Analysis and PDE, 05/27–31.
• Microlocal Analysis and Quantum Dynamics, Northwestern, 06/24–28.
• IHÉS, 11/20–12/02.

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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 2024/04.]

[5] Control estimates for 0th order pseudodifferential operators
Int. Math. Res. Not. IMRN, published online (2023), 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), to appear.
[multiple-weight Carleman estimates, geometric control, noncompact manifolds]

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Teaching:

I am not teaching in 2023–2024.

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External resources:

• American Mathematical Society
• Conferences on spectral theory, PDEs and mathematical physics
• London Analysis and Probability Seminar
• London Mathematical Society
• London PDE Seminar
• Spectral geometry in the clouds
• UK Spectral Theory Network