3 papers
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.…
math.AP2024
Higher order asymptotic expansions for the convection-diffusion equation in the Fujita-subcritical case
Ryunosuke Kusaba
This paper is devoted to the asymptotic behavior of global solutions to the convection-diffusion equation in the Fujita-subcritical case. We improve the result by Zuazua (1993) and…