4 papers
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…
An optimal time-singularity of the estimate for the heat semigroup related to the critical Sobolev embedding
Yi C. Huang, Tohru Ozawa, Chenmin Sun +1
We give a certain -estimate for the heat semigroup that is closely related to the fact $H^1(\mathbb{R}^2) \not\subset L^{\infty}(\…
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.…
The Ozawa solution to the Davey--Stewartson II equations and surface theory
Yi C. Huang, Iskander A. Taimanov
We describe the Ozawa solution to the Davey--Stewartson II equation from the point of view of surface theory by presenting a soliton deformation of surfaces which is ruled by the O…