Semilinear structural damped waves
M. D'Abbicco, M. Reissig
Source abstract
We study the Cauchy problem for the semilinear structural damped wave equation with source term urn:x-wiley:01704214:media:mma2913:mma2913-math-0001 with σ ∈ (0,1] in space dimension n ≥ 2 and with a positive constant μ . We are interested in the influence of σ on the critical exponent p crit in | f ( u ) | ≈ | u | p . This critical exponent is the threshold between global existence in time of small data solutions and blow‐up behavior for some suitable range of p . Our results are optimal for σ = 1 ∕ 2. Copyright © 2013 John Wiley & Sons, Ltd.
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