Journal
BOUNDARY VALUE PROBLEMS
Volume -, Issue -, Pages -Publisher
SPRINGEROPEN
DOI: 10.1186/s13661-014-0259-3
Keywords
Boussinesq equation; blow-up; global solution; nonexistence
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Funding
- National Natural Science Foundation of China [11101069]
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The Cauchy problem for a generalized Boussinesq equation is investigated. The existence and uniqueness for the local solution and global solution of the problem are established under certain conditions. Moreover, the potential well method is used to discuss the finite-time blow-up for the problem.
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