A general decay result for a viscoelastic equation in the presence of past and finite history memories

作者：Guesmia Aissa; Messaoudi Salim A^*

来源：Nonlinear Analysis: Real World Applications , 2012, 13(1): 476-485.

DOI：10.1016/j.nonrwa.2011.08.004

• General decay
• Memory
• Relaxation function
• Past history

In this work, we are concerned with the following equation %26lt;br%26gt;u(tt) - Delta u + integral(t)(0) g(1)(t - s)div (a(1)(x) del u(s))ds %26lt;br%26gt;+ integral(+infinity)(0) g(2)(s)div (a(2)(x) del u(t - s)) ds = 0 %26lt;br%26gt;in a bounded domain Omega. Under suitable conditions on a(1) and a(2) and for a wide class of relaxation functions g(1) and g(2), we establish a general decay result, from which the usual exponential and polynomial decay rates are only special cases.

• 出版日期2012-2
• 单位中国石油大学（北京）