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math.AP2026
On the optimal decay rate of global solutions to the convection-diffusion equation with zero-mass initial data
Yi C. Huang, Ryunosuke Kusaba
We consider the optimal decay rate of global solutions to the convection-diffusion equation with zero-mass initial data. We establish an improved decay estimate of the global solut…
math.AP2025
Remarks on the commutation relations between the Gauss--Weierstrass semigroup and monomial weights
Yi C. Huang, Ryunosuke Kusaba, Tohru Ozawa
We consider the commutation relations between the Gauss--Weierstrass semigroup on , generated by convolution with the complex Gaussian kernel, and monomial weights.…