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RESEARCH PRODUCT

A general nonexistence result for inhomogeneous semilinear wave equations with double damping and potential terms

Mohamed JleliBessem SametCalogero Vetro

subject

PhysicsInhomogeneous semilinear wave equationPotential termDouble damping termsFujita scaleGeneral MathematicsApplied MathematicsMathematical analysisGlobal solutionGeneral Physics and AstronomyStatistical and Nonlinear PhysicsTerm (logic)Space (mathematics)Wave equation01 natural sciencesCritical exponent010305 fluids & plasmasSettore MAT/05 - Analisi Matematica0103 physical sciences010301 acousticsCritical exponentVariable (mathematics)

description

Abstract We investigate the large-time behavior of solutions for a class of inhomogeneous semilinear wave equations involving double damping and potential terms. Namely, we first establish a general criterium for the absence of global weak solutions. Next, some special cases of potential and inhomogeneous terms are studied. In particular, when the inhomogeneous term depends only on the variable space, the Fujita critical exponent and the second critical exponent in the sense of Lee and Ni are derived.

yearjournalcountryeditionlanguage
2021-03-01
10.1016/j.chaos.2021.110673http://hdl.handle.net/10447/507746