Global Existence of Ε−regular Solutions for the Strongly Damped Wave Equation
نویسنده
چکیده
In this paper, we deal with the semilinear wave equation with strong damping. By choosing a suitable state space, we characterize the interpolation and extrapolation spaces of the operator matrix Aθ, analysis the criticality of the ε-regular nonlinearity with critical growth. Finally, we investigate the global existence of the ε-regular solutions which have bounded X ×X norms on their existence intervals.
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