Exponential Decay of Non-linear Wave Equation with a Viscoelastic Boundary Condition

By J. E. Muñoz Rivera, Doherty Andrade. 2000

77 citations recorded by the source corpus.

Subfields: Applied Mathematics, Control and Systems Engineering, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/70a589b57c7a4e69dd5ebb2d0984849ae547fe44

How researchers see this paper

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In Applied Mathematics

1. Mauro L. Santos

In Control and Systems Engineering

1. Mauro L. Santos

In Mathematical Physics

1. Mauro L. Santos

Citations in the corpus

• Exponential stability for a plate equation with p‐Laplacian and memory terms (2012, unknown): “We refer the reader to, for example, [9–13].”
• Asymptotic Behavior of Solutions to Wave Equations with a Memory Condition at the Boundary (2001, background): “While in [13] showed the existence of global smooth solution for the one dimensional nonlinear wave equation, provided the initial data (u0, u1) is small in the H3 ×H2-norm, moreover he showed that the solution tends to zero as time goes to infinity.”