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- W1985118013 abstract "In this paper we study the initial boundary value problem of thegeneralized double dispersion equations$u_{t t}-u_{x x}-u_{x x t t}+u_{x x x x}=f(u)_{x x}$, where $f(u)$ includeconvex function as a special case. By introducing a family ofpotential wells we first prove the invariance of some sets andvacuum isolating of solutions, then we obtain a threshold result ofglobal existence and nonexistence of solutions. Finally we discussthe global existence of solutions for problem with critical initialcondition." @default.
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- W1985118013 date "2008-01-01" @default.
- W1985118013 modified "2023-10-05" @default.
- W1985118013 title "Potential well method for initial boundary value problem of the generalized double dispersion equations" @default.
- W1985118013 doi "https://doi.org/10.3934/cpaa.2008.7.63" @default.
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