3 papers
math.AP2026
The evolution variational inequality for weighted Wasserstein metrics in non-convex bounded domains
Kyogo Murai
In this paper, we establish the evolution variational inequality for the weighted Wasserstein distance, without assuming convexity of domains. Thanks to this evolution variational…
math.AP2026
Minimizing movements for quasilinear Keller--Segel systems with nonlinear mobility in weighted Wasserstein metrics
Kyogo Murai
We prove the global existence of weak solutions to quasilinear Keller--Segel systems with nonlinear mobility by minimizing movements (JKO scheme) in the product space of the weight…
math.AG2024
Nonexistence of phantom categories on very general noncommutative projective planes
Koshiro Murai
We show that very general noncommutative projective planes do not admit phantom categories.