2017
Том 69
№ 9

All Issues

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

Shishkov A. E., Sleptsova I. P.

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Abstract

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 minimum growth of any nonzero solution of the mixed problem at infinity.

English version (Springer): Ukrainian Mathematical Journal 57 (2005), no. 2, pp 282-295.

Citation Example: Shishkov A. E., Sleptsova I. P. Phragmen-Lindelof Principle for Some Quasilinear Evolution Equations of the Second Order // Ukr. Mat. Zh. - 2005. - 57, № 2. - pp. 239–249.

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