2 papers
math.AP2026
Divergence-form equations admitting nowhere Lipschitz weak solutions
Menglan Liao, Baisheng Yan
We study a class of partial differential equations in divergence form that admit highly irregular Lipschitz weak solutions. By reformulating these divergence-form equations as a fi…
math.AP2026
Irregular Diffusions and Loss of Regularity in Polyconvex Gradient Flows
Bin Guo, Seonghak Kim, Baisheng Yan
We investigate diffusion-type partial differential equations that are irregular in the sense that they admit weak solutions which are nowhere smooth, even for prescribed smooth dat…