Cancellation properties and unconditional well-posedness for the fifth order KdV type equations with periodic boundary condition

Takamori Kato () and Kotaro Tsugawa ()
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Takamori Kato: Saga University
Kotaro Tsugawa: Chuo University

Partial Differential Equations and Applications, 2024, vol. 5, issue 3, 1-55

Abstract: Abstract We consider the fifth order KdV type equations and prove the unconditional well-posedness in $$H^s({\mathbb T})$$ H s ( T ) for $$s \ge 1$$ s ≥ 1 . It is optimal in the sense that the nonlinear terms can not be defined in the space-time distribution framework for $$s

Keywords: Fifth order KdV; Normal form; Well-posedness; Cauchy problem; Low regularity; Unconditional; 35Q53 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s42985-024-00289-9

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