General decay and blow up of solution for a nonlinear wave equation with a fractional boundary damping | Zendy

Aounallah Radhouane | Zendy; Boulaaras Salah | Zendy; Zarai Abderrahmane | Zendy; Cherif Bahri | Zendy

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General decay and blow up of solution for a nonlinear wave equation with a fractional boundary damping

Author(s) -

Aounallah Radhouane,

Boulaaras Salah,

Zarai Abderrahmane,

Cherif Bahri

Publication year - 2020

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.6455

Subject(s) - mathematics , bounded function , mathematical analysis , domain (mathematical analysis) , wave equation , nonlinear system , boundary (topology) , fractional calculus , energy (signal processing) , energy method , boundary value problem , physics , statistics , quantum mechanics

The paper deals with the study of global existence of solutions and the general decay in a bounded domain for nonlinear wave equation with fractional derivative boundary condition by using the Lyaponov functional. Furthermore, the blow up of solutions with nonpositive initial energy combined with a positive initial energy is established.

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