Local well-posedness for the Sixth-Order Boussinesq Equation

Luiz Gustavo Farah, Amin Esfahani

This work studies the local well-posedness of the initial-value problem for the nonlinear sixth-order Boussinesq equation $u_{tt}=u_{xx}+\beta u_{xxxx}+u_{xxxxxx}+(u^2{)}_{xx}$, where $β=…