𝔖 Bobbio Scriptorium
✦   LIBER   ✦

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

No coin nor oath required. For personal study only.

✦ 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.


📜 SIMILAR VOLUMES