Abstract
In 1963, Kumano-go presented one non-uniqueness example for the two-dimensional wave equation with a time-dependent potential. We construct infinitely many non-uniqueness examples with different wave numbers at infinity for Cauchy problems of the two-dimensional wave equation and Schrödinger equation as a generalization of the construction by Kumano-go.
Citation
Hiroshi Takase. "Infinitely many non-uniqueness examples for Cauchy problems of the two-dimensional wave and Schrödinger equations." Proc. Japan Acad. Ser. A Math. Sci. 97 (7) 45 - 50, July 2021. https://doi.org/10.3792/pjaa.97.009
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