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- W3147515961 abstract "In this paper we study solvability of the Cauchy problem of the Kawahara equation _tu+au_xu+β~3_xu+γ~5_xu=0 with L~2 initial data. By working on the Bourgain space X~(r,s)(R~2) associated with this equation, we prove that the Cauchy problem of the Kawahara equation is locally solvable if initial data belong to H~r(R)and -1r≤0.This result combined with the energy conservation law of the Kawahara equation yields that global solutions exist if initial data belong to L~2(R)." @default.
- W3147515961 created "2021-04-13" @default.
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- W3147515961 date "2006-01-01" @default.
- W3147515961 modified "2023-09-24" @default.
- W3147515961 title "Global Existence of Solutions for the Cauchy Problem of the Kawahara Equation with L~2 Initial Data" @default.
- W3147515961 hasPublicationYear "2006" @default.
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