Lifespan for a semilinear pseudo‐parabolic equation
Guangyu Xu, Jun Zhou
Source abstract
This paper deals with the blow‐up solution to the following semilinear pseudo‐parabolic equation urn:x-wiley:mma:media:mma4639:mma4639-math-0001 in a bounded domain , which was studied by Luo (Math Method Appl Sci 38(12):2636‐2641, 2015) with the following assumptions on p : urn:x-wiley:mma:media:mma4639:mma4639-math-0003 and the lifespan for the initial energy J ( u 0 )<0 is considered. This paper generalizes the above results on the following two aspects: a new blow‐up condition is given, which holds for all p> 1; a new lifespan is given, which holds for all p> 1 and possible J ( u 0 )≥0. Moreover, as a byproduct, we refine the lifespan when J ( u 0 )<0.
Evidence graph
No public relationships recorded yet.
Integrity note: This page is a factual metadata record created by deterministic ingestion. It is not a claim that the work moves a mathematical frontier or has been independently verified.