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math.AP2026
Strichartz estimates for Schrödinger equations with the multipole Aharonov--Bohm Hamiltonian
Mengxuan Yang, Junyong Zhang
We prove global-in-time Strichartz estimates for Schrödinger equations with multipole Aharonov--Bohm Hamiltonians on . As intermediate steps, we prove global-in-time…
math.AP2026
Regularity of Second-Order Elliptic PDEs in Spectral Barron Spaces
Ziang Chen, Liqiang Huang, Mengxuan Yang +1
We establish a regularity theorem for second-order elliptic PDEs on in spectral Barron spaces. Under mild ellipticity and smallness assumptions, the solution gains…