Research Roundup
We will regularly announce newly posted articles and newly accepted articles within the group. We are proud to announce the following updates from the past few months.
Yaiza Canzani (faculty)


 Newly posted: Y. Canzani and J. Toth: Lower bounds for eigenfunction restrictions in lacunary regions.
 Newly accepted: G. Berkolaiko, Y. Canzani, G. Cox, and J. Marzuola: Stability of spectral partitions and the DirichlettoNeumann map. Calculus of Variations and Partial Differential Equations, to appear.
 Newly accepted: T. Beck, Y. Canzani, and J. Marzuola: Quantitative bounds on impedancetoimpedance operators with applications to fast direct solvers for PDEs. Pure and Applied Analysis, to appear.

Jeremy Marzuola (faculty)


 New submitted: K. Datchev, J. Marzuola, and J. Wunsch: Newton polygons and resonances of multiple deltapotentials.
 New submitted: D. Baskin, J. GellRedman, and J. Marzuola: Price’s law on Minkowski space in the presence of an inverse square potential
 Newly accepted: G. Berkolaiko, Y. Canzani, G. Cox, and J. Marzuola: Stability of spectral partitions and the DirichlettoNeumann map. Calculus of Variations and Partial Differential Equations, to appear.
 Newly accepted: T. Beck, Y. Canzani, and J. Marzuola: Quantitative bounds on impedancetoimpedance operators with applications to fast direct solvers for PDEs. Pure and Applied Analysis, to appear.
 Newly accepted: D. Baskin and J. Marzuola: The radiation field on product cones. Advances in Mathematics, to appear.
 Newly accepted: M. Holst, H. Hu, J. Lu, J. Marzuola, D. Song, and J. Weare: Symmetry breaking in density functional theory due to Dirac exchange for a hydrogen molecule. Journal of Nonlinear Science, to appear.

Jason Metcalfe (faculty)


 Newly accepted: J. Metcalfe and A. Stewart: On a system of weakly null semilinear wave equations. Analysis and Mathematical Physics, to appear.
 Newly accepted: M. Facci and J. Metcalfe: Global existence for quasilinear wave equations satisfying the null condition.. Houston Journal of Mathematics, to appear.
 Newly accepted: K. Hepditch and J. Metcalfe: A local energy estimate for 2dimensional Dirichlet wave equations. Involve, to appear.

Casey Rodriguez (faculty)


 Newly submitted: K. Rajagopal and C. Rodriguez: On an elastic strainlimiting special Cosserat rod model.
 Newly appeared: M. Bulíček, J. Málek, and C. Rodriguez: Global wellposedness for twodimensional flows of viscoelastic ratetype fluids with stress diffusion. Journal of Mathematical Fluid Mechanics 24 (2022)

Michael Taylor (faculty)


 Newly submitted: X. Huang, C. Sogge, and M. Taylor: Product manifolds with improved spectral cluster and Weyl remainder estimates.

Mark Williams (faculty)


 Newly submitted: M. Williams: Reflection of conormal pulse solutions to large variablecoefficient semilinear hyperbolic systems.
