3 papers
math.AP2026
Non-time-decaying global classical solutions to nonlinear wave equations in 3D under the null condition
Zexian Zhang, Yi Zhou
We present an alternative proof of the global well-posedness of nonlinear wave equations in three spatial dimensions under the null condition, in the regularity regime of the class…
math.AP2026
Global well-posedness of non-integrable hyperbolic-ellptic Ishimori system in the critical Sobolev space
Zexian Zhang, Yi Zhou
We consider the Cauchy problem for the hyperbolic-elliptic Ishimori system with general decoupling constant and prove global well-posedness in the critical Sobole…
math.AP2024
Global Well-posedness for Incompressible Hookean Elastodynamics in the Critical Besov Spaces
Zexian Zhang, Yi Zhou
We identify the wave maps type nonlinearities of incompressible Hookean elastodynamics equations in Lagerangian coordinates, and iterate them in the adapted -type spaces to pr…