Submitted

  • Y.L. Fang and A. Waters (2023): Dispersive estimates for Maxwell's equations in the exterior of a sphere
    arXiv: 2308.00536

Journal Articles

  • A. Strohmaier and A. Waters (2023): The relative trace formula in electromagnetic scattering and boundary layer operatorsto appear in Analysis and PDE
    arXiv: 2111.15331
  • A. Waters (2023): Observability for Schrodinger Equations with Quadratic HamiltoniansPartial Differential Equations and Applications More info
  • A. Strohmaier and A. Waters (2022): The Birman-Krein formula for differential forms and electromagnetic scatteringBull. Sci. Math. 179 (2022), Paper No. 103166
    arXiv: 2104.13589
  • A. Strohmaier and A. Waters (2022): Analytic properties of heat equation solutions and reachable setsMath. Z. 302 (2022), no. 1, 259–274
    arXiv: 2006.05762
  • F. Hanisch, A. Strohmaier and A. Waters (2022): A relative trace formula for obstacle scatteringDuke 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 ElasticityInverse and Ill posed problems
  • A. Strohmaier and A. Waters (2020): Geometric and obstacle scattering at low energyCommunications 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 factorizationSiam Journal of Optimization
  • A. Waters (2019): Unique determination of sound speeds for coupled systems of semi-linear wave equationsIndagationes Mathematicae Vol 30, No 5 (2019) pp 904-919
  • A. Waters (2019): Low regularity ray tracing for wave equations using Gaussian beamsRocky Mountain Journal of Mathematics, Vol 9, No. 3 (2019)
  • A. Waters (2018): Phaseless Stability for HelmholtzCommunications in Mathematical Sciences
  • E. Merkurjev and A. Waters (2018): Asymptotics for optimal design problems for the Schrodinger equation with a potentialJournal 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 EquationSiam Journal of Control Theory More info
  • H. Gimperlein and A. Waters (2016): Stability Analysis in Magnetic Resonance Elastography IIJournal of Mathematical Analysis and Applications More info
  • S. Dyatlov and A. Waters (2016): Lower Resolvent Bounds and Lyapunov EstimatesApplied Mathematics Research Express More info
  • H. Zhang, H. Ammari and A. Waters (2015): Stability Analysis for Magnetic Resonance ElastographyJournal 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 mapComm. Partial Differential Eq.
  • A. Waters (2014): Isospectral Periodic Torii in Dimension 2Annales de L'Institut Henri Poincare (C)
  • A. Waters (2011): A Parametrix Construction for the Wave Equation with Low Regularity Coefficients Using a Frame of GaussiansCommunications in Mathematical Sciences