Critical exponent for damped wave equations with nonlinear memory
Fino, Ahmad
Original · EN
We consider the Cauchy problem in Rⁿ, n≥ 1, for a semilinear damped wave equation with nonlinear memory. Global existence and asymptotic behavior as t→∞ of small data solutions have been established in the case when 1≤ n≤3. Moreover, we derive a blow-up result under some positive data in any dimensional space.
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