New decay estimates for linear damped wave equations and its application to nonlinear problem

✍ Scribed by Ryo Ikehata

• Publisher: John Wiley and Sons
• Year: 2004
• Tongue: English
• Weight: 189 KB
• Volume: 27
• Category: Article
• ISSN: 0170-4214
• DOI: 10.1002/mma.476

✦ Synopsis

We present new decay estimates of solutions for the mixed problem of the equation vtt -vxx + vt = 0, which has the weighted initial data [v

. Similar decay estimates are also derived to the Cauchy problem in R N for utt -u+ut = 0 with the weighted initial data. Finally, these decay estimates can be applied to the one dimensional critical exponent problem for a semilinear damped wave equation on the half line. Copyright ? 2004 John Wiley & Sons, Ltd.