Phragmen-Lindelof Principle for Some Quasilinear Evolution Equations of the Second Order

• Date: 2005
• Main Authors: Sleptsova, I. P., Shishkov, A. E., Слепцова, И. П., Шишков, А. Е.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2005
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3591
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We consider the equation $u_{tt} + A (u_t) + B(u) = 0$, where $A$ and $B$ are quasilinear operators with respect to the variable x of the second order and the fourth order, respectively. In a cylindrical domain unbounded with respect to the space variables, we obtain estimates that characterize the...