3 papers
math.AP2026
Higher-order derivative estimates for the parabolic Lamé system on a smooth bounded domain
Yoshinori Furuto, Tsukasa Iwabuchi
We consider the parabolic Lamé system on a bounded domain. We focus on two types of inequalities for higher-order derivatives of solutions. The first is related to an - e…
math.AP2025
Higher-order derivative estimates for the heat equation on a smooth domain
Yoshinori Furuto, Tsukasa Iwabuchi
We consider the linear heat equation on a bounded domain and on an exterior domain. We study estimates of any order derivatives of the solution locally in time in the Lebesgue spac…
math.AP2024
estimate of the heat equation on a bounded domain
Yoshinori Furuto, Tsukasa Iwabuchi, Ryusei Kohama
We consider the linear heat equation on a bounded domain. We study estimates of the derivatives, up to the second order, of the solution locally in time in the Lebesgue spaces. We…