Semilinear structural damped waves
Copyright policy )Semilinear structural damped waves
We study the Cauchy problem for the semilinear structural damped wave equation with source term urn:x-wiley:01704214:media:mma2913:mma2913-math-0001with 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 pcrit 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.
- University of Bari Aldo Moro Italy
- TU Bergakademie Freiberg Germany
global existence, critical exponent, structural damped wave equation, Initial value problems for second-order hyperbolic equations, Critical exponents in context of PDEs, 35L71, blowup, test function method, Blow-up in context of PDEs, Engineering (all), Mathematics - Analysis of PDEs, semilinear wave model, Second-order semilinear hyperbolic equations, FOS: Mathematics, Mathematics (all), Analysis of PDEs (math.AP)
global existence, critical exponent, structural damped wave equation, Initial value problems for second-order hyperbolic equations, Critical exponents in context of PDEs, 35L71, blowup, test function method, Blow-up in context of PDEs, Engineering (all), Mathematics - Analysis of PDEs, semilinear wave model, Second-order semilinear hyperbolic equations, FOS: Mathematics, Mathematics (all), Analysis of PDEs (math.AP)
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