On Global Solutions for the Cauchy Problem of a Boussinesq-Type Equation
We will give conditions which will guarantee the existence of global weak solutions of the Boussinesq-type equation with power-type nonlinearity 𝛾|𝑢|𝑝 and supercritical initial energy. By defining new functionals and using potential well method, we readdressed the initial value problem of the Boussi...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/535031 |