Decay of Solutions of Wave Equation in a Star-shaped Domain with Nonlinear Boundary Feedback
Author | : Francis Conrad |
Publisher | : |
Total Pages | : 28 |
Release | : 1991 |
ISBN-10 | : OCLC:25211970 |
ISBN-13 | : |
Rating | : 4/5 ( Downloads) |
Download or read book Decay of Solutions of Wave Equation in a Star-shaped Domain with Nonlinear Boundary Feedback written by Francis Conrad and published by . This book was released on 1991 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "We study the uniform stabilization of the wave equation by means of a nonlinear dissipative boundary feedback. We consider a Neumann condition on the whole boundary, and the observation is the boundary displacement and velocity. Extending a result of E. Zuazua, we obtain, in a nonlinear framework, estimates of the decay, for any displacement. We establish a similar result for the one-dimensional wave equation with a variable coefficient."