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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.