General Energy Decay and Exponential Instability to a Nonlinear Dissipative-Dispersive Viscoelastic Petrovsky Equation

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PEYRAVI A.

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Journal Paper

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Journal: JOURNAL OF MATHEMATICAL EXTENSION Year:2022 | Volume:16 | Issue:5 Page(s): 00-00

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Title

General Energy Decay and Exponential Instability to a Nonlinear Dissipative-Dispersive Viscoelastic Petrovsky Equation

Author(s)

PEYRAVI A. | Issue Writer Certificate

Keywords

Global existence

general decay

exponential growth

Petrovsky equation

Abstract

This work is concerned with the initial boundary value problem for a nonlinear viscoelastic Petrovsky wave equation utt +, 2u 􀀀,Z t 0 g(t 􀀀,, ), 2u(,)d,􀀀, , ut 􀀀, , utt + utjutjm􀀀, 1 = ujujp􀀀, 1: Under suitable conditions on the relaxation function g, the global ex-istence of solutions is obtained without any relation between m and p. The uniform decay of solutions is proved by adapting the perturbed energy method. For p > m and su, cient conditions on g, an unbound-edness result of solutions is also obtained.

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APA: Copy

PEYRAVI, A.. (2022). General Energy Decay and Exponential Instability to a Nonlinear Dissipative-Dispersive Viscoelastic Petrovsky Equation. JOURNAL OF MATHEMATICAL EXTENSION, 16(5), 00-00. SID. https://sid.ir/paper/1066252/en

Vancouver: Copy

PEYRAVI A.. General Energy Decay and Exponential Instability to a Nonlinear Dissipative-Dispersive Viscoelastic Petrovsky Equation. JOURNAL OF MATHEMATICAL EXTENSION[Internet]. 2022;16(5):00-00. Available from: https://sid.ir/paper/1066252/en

IEEE: Copy

A. PEYRAVI, “General Energy Decay and Exponential Instability to a Nonlinear Dissipative-Dispersive Viscoelastic Petrovsky Equation,” JOURNAL OF MATHEMATICAL EXTENSION, vol. 16, no. 5, pp. 00–00, 2022, [Online]. Available: https://sid.ir/paper/1066252/en

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