Modified KdV equation with a source term in a bounded domain

✍ Scribed by N. A. Larkin

• Publisher: John Wiley and Sons
• Year: 2006
• Tongue: English
• Weight: 133 KB
• Volume: 29
• Category: Article
• ISSN: 0170-4214
• DOI: 10.1002/mma.704

✦ Synopsis

Abstract

A mixed problem for the modified KdV equation in Q = (0,1) × (0,∞)
where a(t)>0, is considered. No restriction on the sign of d(t) is imposed. We prove the existence and uniqueness of strong and weak global solutions as well as the exponential decay of solutions as t→+∞. Copyright © 2006 John Wiley & Sons, Ltd.