Optimal decay rates for nonlinear Moore-Gibson-Thompson equation with memory and Neumann boundary

• Published in: Applicable analysis Vol. 104; no. 2; pp. 293 - 313
• Main Author: Zhang, Hui
• Format: Journal Article
• Language: English
• Published: Taylor & Francis 22.01.2025
• Subjects: energy; memory effect; Moore-Gibson-Thompson equation; Neumann boundary; optimal decay

We consider the initial value problem of Moore-Gibson-Thompson equation with memory effect, being subject to the Neumann boundary condition. Here, the nonlinearity f is conservative and satisfies some polynomial growth conditions. Under the condition that $ g(t) $ g ( t ) decays exponentially, we ob...