2 papers
math.AP2026
Global Calderon-Zygmund estimates for irregular double-phase evolution problem with non-divergence data
Rakesh Arora, Sergey Shmarev
We study irregular double-phase parabolic equations with variable exponents and non-divergence data, \[ u_t-\operatorname{div} \left(\mathcal{F}(z,\nabla u)\nabla u \right)=f(z),\q…
math.AP2025
Irregular double-phase evolution problem: existence and global regularity
Rakesh Arora, Sergey Shmarev
We investigate the homogeneous Dirichlet problem for the irregular double-phase evolution equation \[ u_t-\operatorname{div} \left( a(z)|\nabla u|^{p(z)-2} \nabla u + b(z)|\nabla u…