带有临界型非线性项的强阻尼波动方程  

Strongly Damped Wave Equations with Critical Nonlinearities

作　　者：张庆华[1] 朱月萍[1] 

机构地区：[1]南通大学数学系,南通226007

出　　处：《数学学报（中文版）》2015年第1期161-168,共8页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金资助项目(11271209)

摘　　要：研究一类带有临界型非线性项的强阻尼波动方程.通过选择合适的状态空间,证明了算子矩阵[OA-IηAθ]的扇形性,评估了带有临界型增长指数的非线性项的临界性,并且研究了弱解的局部与整体存在性和正则性.We study the strongly damped wave equations with critical nonlinearities.By choosing suitable state spaces,we prove sectorial properties of the operator matrix[OA-IηAθ],analysis the criticality of the nonlinearities with critical growth,and investigate the local and global existence of weak solutions together with their higher regularity.

关 键 词：波动方程 强阻尼 临界型非线性项 

分 类 号：O175[理学—数学]