Research Round-up

 

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 Dirichlet-to-Neumann map.  Calculus of Variations and Partial Differential Equations, to appear.
    • Newly accepted: T. Beck, Y. Canzani, and J. Marzuola: Quantitative bounds on impedance-to-impedance 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 delta-potentials.
    • New submitted: D. Baskin, J. Gell-Redman, 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 Dirichlet-to-Neumann map.  Calculus of Variations and Partial Differential Equations, to appear.
    • Newly accepted: T. Beck, Y. Canzani, and J. Marzuola: Quantitative bounds on impedance-to-impedance 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 2-dimensional Dirichlet wave equations.  Involve, to appear.

Casey Rodriguez (faculty)

• • • Newly submitted: K. Rajagopal and C. Rodriguez: On an elastic strain-limiting special Cosserat rod model.
    • Newly appeared: M. Bulíček, J. Málek, and C. Rodriguez: Global well-posedness for two-dimensional flows of viscoelastic rate-type 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 variable-coefficient semilinear hyperbolic systems.