Differential and Integral Equations 

About: Differential and Integral Equations is an academic journal published by Khayyam Publishing. The journal publishes majorly in the area(s): Nonlinear system & Boundary value problem. It has an ISSN identifier of 0893-4983. Over the lifetime, 2092 publications have been published receiving 38440 citations.

Uniform boundary stabilization of semilinear wave equations with nonlinear boundary damping

Abstract: A semilinear model of the wave equation with nonlinear boundary conditions and nonlinear boundary velocity feedback is considered. Under the assumption that the velocity boundary feedback is dissipative and that the other nonlinear terms are conservative, uniform decay rates for the solutions are established.

A few remarks on the Camassa-Holm equation

Abstract: In the present paper, we use some standard a priori estimates for linear transport equations to prove the existence and uniqueness of solutions for the Camassa-Holm equation with minimal regularity assumptions on the initial data. We also derive some explosion criteria and a sharp estimate from below for the existence time. We finally address the question of global existence for certain initial data. This yields, among other things, a different proof for the existence and uniqueness of Constantin and Molinet's global weak solutions (see [9]).