On the Strongly Damped Wave Equations with Critical Nonlinearities ()
ABSTRACT
We study the strongly damped wave equations with critical nonlinearities. By choosing suitable state spaces, we prove sectorial property of the operator matrix
together with its adjoint operator, investigate the associated interpolation and extrapolation spaces, analysis the criticality of the nonlinearity with critical growth, and study the higher spatial regularity of the Y-regular solution by bootstrapping.
Share and Cite:
Zhang, Q. (2016) On the Strongly Damped Wave Equations with Critical Nonlinearities.
Journal of Applied Mathematics and Physics,
4, 697-705. doi:
10.4236/jamp.2016.44080.
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