Global solution to the Cauchy problem of the nonlinear double dispersive wave equation with strong damping
Global solution to the Cauchy problem of the nonlinear double dispersive wave equation with strong damping
This paper concerns with the global classical solution to the Cauchy problem of the nonlinear double dispersive wave equation with strong dampingwhere c and d are positive constants.By the contraction mapping principle and priori estimates, we prove that the Cauchy problem admits a unique global classical solution, and by the …