New blow-up criteria for a semilinear pseudo-parabolic equation with general nonlinearity
Xiatong Li
School of Mathematical Sciences, Ocean University of China, Qingdao, China
Search for more papers by this authorCorresponding Author
Zhong Bo Fang
School of Mathematical Sciences, Ocean University of China, Qingdao, China
Correspondence
Zhong Bo Fang, School of Mathematical Sciences, Ocean University of China, Qingdao 266100, China.
Email: [email protected]
Communicated by: T. Hishida
Search for more papers by this authorXiatong Li
School of Mathematical Sciences, Ocean University of China, Qingdao, China
Search for more papers by this authorCorresponding Author
Zhong Bo Fang
School of Mathematical Sciences, Ocean University of China, Qingdao, China
Correspondence
Zhong Bo Fang, School of Mathematical Sciences, Ocean University of China, Qingdao 266100, China.
Email: [email protected]
Communicated by: T. Hishida
Search for more papers by this authorAbstract
This paper is concerned with the blow-up phenomena for a semilinear pseudo-parabolic equation with general nonlinearity under the null Dirichlet boundary condition. When the nonlinearity satisfies a new structural condition, we obtain some new blow-up criteria with different initial energy levels and derive the growth estimations and life span of blow-up solutions.
CONFLICT OF INTEREST
The authors declare no potential conflict of interests.
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