Global solutions and blow up solutions to a class of pseudo-parabolic equations with nonlocal term

作者：

Highlights：

• The pseudo-parabolic partial differential equations with Newtonian nonlocal term have not been studied.

• The results are better since some sharp condition has been found.

• The weak solution is represented by a new integral form which is independent of any semigroup.

摘要

•The pseudo-parabolic partial differential equations with Newtonian nonlocal term have not been studied.•The results are better since some sharp condition has been found.•The weak solution is represented by a new integral form which is independent of any semigroup.

论文关键词：Pseudo-parabolic equation,Newtonian nonlocal term,Potential well,Global weak solution,Blow up

论文评审过程：Received 18 March 2015, Accepted 1 February 2018, Available online 28 February 2018, Version of Record 28 February 2018.

论文官网地址：https://doi.org/10.1016/j.amc.2018.02.003