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- W2896101207 abstract "In this paper we study the Cauchy problem for the generalized Boussinesq equation with initial data in modulation spaces $M^{s}_{p^prime,q}(mathbb{R}^n),$ $ngeq 1.$ After a decomposition of the Boussinesq equation in a $2times 2$-nonlinear system, we obtain the existence of global and local solutions in several classes of functions with values in $ M^s_{p,q}times D^{-1}JM^s_{p,q}$ spaces for suitable $p,q$ and $s,$ including the special case $p=2,q=1$ and $s=0.$ Finally, we prove some results of scattering and asymptotic stability in the framework of modulation spaces." @default.
- W2896101207 created "2018-10-26" @default.
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- W2896101207 date "2018-10-08" @default.
- W2896101207 modified "2023-09-27" @default.
- W2896101207 title "Existence theory for the Boussinesq equation in Modulation spaces" @default.
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