-
A. Strohmaier and A. Waters
(2023):
The relative trace formula in electromagnetic scattering and boundary layer operators,
to appear in Analysis and PDE
arXiv:
2111.15331
-
A. Waters
(2023):
Observability for Schrodinger Equations with Quadratic Hamiltonians,
Partial Differential Equations and Applications
More info
-
A. Strohmaier and A. Waters
(2022):
The Birman-Krein formula for differential forms and electromagnetic scattering,
Bull. Sci. Math. 179 (2022), Paper No. 103166
arXiv:
2104.13589
-
A. Strohmaier and A. Waters
(2022):
Analytic properties of heat equation solutions and reachable sets,
Math. Z. 302 (2022), no. 1, 259–274
arXiv:
2006.05762
-
F. Hanisch, A. Strohmaier and A. Waters
(2022):
A relative trace formula for obstacle scattering,
Duke Math. J. 171 (2022), no. 11, 2233–2274
arXiv:
2002.07291
-
H. Carrillo-Lincopi and Alden Waters
(2021):
Recovery of a Lame Parameter from Displacement fields in Nonlinear Elasticity,
Inverse and Ill posed problems
-
A. Strohmaier and A. Waters
(2020):
Geometric and obstacle scattering at low energy,
Communications in Partial Differential Equations 45 (11), 1451-1511 5 2020. list of typos available:
| File |
arXiv:
1907.01444
-
Irene Waldsburger and Alden Waters
(2020):
Rank Optimality for the Burer-Monteiro factorization,
Siam Journal of Optimization
-
A. Waters
(2019):
Unique determination of sound speeds for coupled systems of semi-linear wave equations,
Indagationes Mathematicae Vol 30, No 5 (2019) pp 904-919
-
A. Waters
(2019):
Low regularity ray tracing for wave equations using Gaussian beams,
Rocky Mountain Journal of Mathematics, Vol 9, No. 3 (2019)
-
A. Waters
(2018):
Phaseless Stability for Helmholtz,
Communications in Mathematical Sciences
-
E. Merkurjev and A. Waters
(2018):
Asymptotics for optimal design problems for the Schrodinger equation with a potential,
Journal of Optimisation
-
J. Ilmavirta and A. Waters
(2018):
Recovery of Coefficients for the Acoustic Wave equation from Phaseless measurements,
(CMS) Comm. Math. Sciences Vol. 16, No. 4 (2018), pp. 1017-1041
-
H. Gimperlein and A. Waters
(2017):
A Deterministic Optimal Design Problem for the Heat Equation,
Siam Journal of Control Theory
More info
-
H. Gimperlein and A. Waters
(2016):
Stability Analysis in Magnetic Resonance Elastography II,
Journal of Mathematical Analysis and Applications
More info
-
S. Dyatlov and A. Waters
(2016):
Lower Resolvent Bounds and Lyapunov Estimates,
Applied Mathematics Research Express
More info
-
H. Zhang, H. Ammari and A. Waters
(2015):
Stability Analysis for Magnetic Resonance Elastography,
Journal of Mathematical Analysis and Applications
More info
-
A. Waters
(2014):
Stable determination of X-ray transforms of time dependent potentials from the dynamical Dirichlet-to-Neumann map,
Comm. Partial Differential Eq.
-
A. Waters
(2014):
Isospectral Periodic Torii in Dimension 2,
Annales de L'Institut Henri Poincare (C)
-
A. Waters
(2011):
A Parametrix Construction for the Wave Equation with Low Regularity Coefficients Using a Frame of Gaussians,
Communications in Mathematical Sciences