Open Access Research

Continuous dependence on data for a solution of the quasilinear parabolic equation with a periodic boundary condition

Fatma Kanca1* and Irem S Baglan2

Author Affiliations

1 Department of Information Technologies, Kadir Has University, Istanbul, 34083, Turkey

2 Department of Mathematics, Kocaeli University, Kocaeli, 41380, Turkey

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Boundary Value Problems 2013, 2013:28 doi:10.1186/1687-2770-2013-28

Published: 14 February 2013

Abstract

In this paper we consider a parabolic equation with a periodic boundary condition and we prove the stability of a solution on the data. We give a numerical example for the stability of the solution on the data.