The global existence and uniqueness of solutions of semi-linear σ-evolution equations with structural damping
This paper studies the Cauchy problem of semi-linear σ-evolution equations with structural damping,and the(Lm ∩ L2)-L2 and L2-L2 estimates of the solutions of the corresponding linear problems are established by Fourier analysis.Employing the global iterative method and assuming small initial data,when the nonlinear term exponent p and the spatial dimension n meet certain conditions,the global existence and uniqueness of the solutions are proved and the decay estimates are obtained.
万方数据
维普
