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math.AP2006★ 39 cited
Global Existence and Uniqueness of Solutions to the Maxwell-Schr{ö}dinger Equations
Makoto Nakamura, Takeshi Wada
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 T…
math.AP2003★ 4 cited
Local well-posedness for the Maxwell-Schrödinger equation
Makoto Nakamura, Takeshi Wada
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 tem…