arXiv subjects

Takeshi Wada

Publications and source records attributed to Takeshi Wada.

2 recordsLinked to original sources

arXiv2007

Global Existence and Uniqueness of Solutions to the Maxwell-Schr{ö}dinger Equations

The time local and global well-posedness for the Maxwell-Schr{ö}dinger equations is considered in Sobolev spaces in three spatial dimensions. The Strichartz estimates of Koch and Tzvetkov type are used for obtaining the solutions in the Sobolev spaces of low regularities. One of the main results is that the solutions exist time globally for large data.

math.AP↗

arXiv2004

Local well-posedness for the Maxwell-Schrödinger equation

Time local well-posedness for the Maxwell-Schrödinger equation in the coulomb gauge is studied in Sobolev spaces by the contraction mapping principle. The Lorentz gauge and the temporal gauge cases are also treated by the gauge transform.

math.AP↗