Remark on uniqueness of energy solutions for the Maxwell schrodinger equations in one space dimension

Research Report MRR95-007

Remark on uniqueness of energy solutions for the Maxwell-Schrödinger equations in one space dimension

Yoshio Tsutsumi

Abstract: In this paper we consider the uniqueness of weak solutions for the Cauchy problem of the Maxwell-Schrödinger equations in one space dimension. We prove the uniqueness of solutions in the energy class, i.e., in $H^1(\Bbb R)$ under an additional condition, which seems fairly weak.

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