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- W4230609813 abstract "The initial-boundary value problem for a nonlinear dispersive system with time-dependent boundary condition is discussed in the Sobolev space ${H^1}$ from the point of view of the theory of nonlinear evolution operators. A notion of weak solution to the problem is introduced and the associated family of solution operators is constructed in such a way that it gives rise to a nonlinear evolution operator with time-dependent domain. Various qualitative properties as well as regularity of the weak solutions are investigated through those of the constructed evolution operator." @default.
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- W4230609813 date "1986-05-01" @default.
- W4230609813 modified "2023-10-18" @default.
- W4230609813 title "On Nonlinear Evolution Operators Associated with Some Nonlinear Dispersive Equations" @default.
- W4230609813 doi "https://doi.org/10.2307/2046096" @default.
- W4230609813 hasPublicationYear "1986" @default.
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