Electron. J. Diff. Equ.,
Vol. 2012 (2012), No. 141, pp. 112.
Behavior of the maximal solution of the Cauchy problem for some
nonlinear pseudoparabolic equation as
Tatiana Kavitova
Abstract:
We prove a comparison principle for solutions of the Cauchy problem of the
nonlinear pseudoparabolic equation
with nonnegative bounded initial data.
We show stabilization of a maximal solution to a maximal solution of
the Cauchy problem for the corresponding ordinary differential
equation
as
under certain conditions on an initial datum.
Submitted March 22, 2012. Published August 20, 2012.
Math Subject Classifications: 35B40, 35B51, 35K70.
Key Words: Pseudoparabolic equation; comparison principle; stabilization.
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Tatiana Kavitova
Department of Mathematics, Vitebsk State University
Moskovskii pr. 33, 210038 Vitebsk, Belarus
email: KavitovaTV@tut.by

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