Taku Yanagisawa

activity

20192025

collaborators

3 papers

math.NT2025

On a bound of $p$ -ranks of Iwasawa modules of $Z_{p}$ -extensions over a quartic CM-field

Takuya Yanagisawa

Let $p$ be a prime number. If a number field $k$ has at least one complex place, there are infinitely many $Z_{p}$ -extensions over $k$ , and some authors studied the behavior…

math.AP2024

Long-time asymptotic profiles of the n-D heat equation and modified heat kernels

Kana Minami, Taku Yanagisawa

We construct a long-time asymptotic profile to the initial value problem of the n-dimensional heat equation. Specifically, we present a modified heat kernel as a long-time asymptot…

math.AP2019

$L^{r}$ -Helmholtz-Weyl decomposition for three dimensional exterior domains

Matthias Hieber, Hideo Kozono, Anton Seyfert +2

In this article the Helmholtz-Weyl decomposition in three dimensional exterior domains is established within the $L^{r}$ -setting for $1 < p < \infty$ .

On a bound of p-ranks of Iwasawa modules of Zp​-extensions over a quartic CM-field

Long-time asymptotic profiles of the n-D heat equation and modified heat kernels

Lr-Helmholtz-Weyl decomposition for three dimensional exterior domains

On a bound of $p$ -ranks of Iwasawa modules of $Z_{p}$ -extensions over a quartic CM-field

$L^{r}$ -Helmholtz-Weyl decomposition for three dimensional exterior domains