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.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 57, No. 2, pp. 239–249, February, 2005.
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Sleptsova, I.P., Shishkov, A.E. Phragmen-Lindelof Principle for Some Quasilinear Evolution Equations of the Second Order. Ukr Math J 57, 282–295 (2005). https://doi.org/10.1007/s11253-005-0188-5
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DOI: https://doi.org/10.1007/s11253-005-0188-5