On the energy decay for dissipative nonlinear wave equations in one space dimension

The energy decay problem is studied for the nonlinear dissipative wave equation in one space dimension. It is shown by Mochizuki and Motai [6] that the decay rate is at least logarithmic when the exponent of the nonlinearity is greater than one and less than three. In this paper, an improvement is found which implies a polynomial decay rate for the same range of exponents.