On the Strongly Damped Wave Equations with Critical Nonlinearities  

作　　者：Qinghua Zhang Qinghua Zhang(Department of Mathematics, Nantong University, Nantong, China)

机构地区：[1]Department of Mathematics, Nantong University, Nantong, China

出　　处：《Journal of Applied Mathematics and Physics》2016年第4期697-705,共9页应用数学与应用物理（英文）

摘　　要：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.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.

关 键 词：Negative Laplacian Wave Equation Strong Damping Sectorial Operator Fractional Power Global Attractor 

分 类 号：O17[理学—数学]