Asymptotic stability and blow up of solutions for a Petrovsky inverse source problem with dissipative boundary condition |
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| Authors: | F. Tahamtani M. Shahrouzi |
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| Affiliation: | Department of Mathematics, College of Sciences, Shiraz University, , 71454 Shiraz, Iran |
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| Abstract: | This paper is concerned with global in time behavior of solutions for a quasilinear Petrovsky inverse source problem with boundary dissipation. We establish a stability result when the integral constraint vanishes as time goes to infinity. We also show that the smooth solutions blow up when the data is chosen appropriately. Copyright © 2012 John Wiley & Sons, Ltd. |
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| Keywords: | inverse problem dissipative condition Petrovsky equation asymptotic stability blow up |
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