Abstract
We show that there are no nontrivial stationary solutions of certain decay order for some applied nonlinear evolution equations which include the thin epitaxial film model with slope selection and the square phase field crystal (SPFC) equation. The method is to use the Morawetz multiplier and the Gagliardo-Nirenberg inequality.
Highlights
We show that there are no nontrivial stationary solutions of certain decay order for some applied nonlinear evolution equations which include the thin epitaxial film model with slope selection and the square phase field crystal (SPFC) equation
We will study the equation that is more general than the above equations (1.3) and (1.4), http://jmr.ccsenet.org Journal of Mathematics Research
We will show that under certain conditions of a, b, and f (x, u), there is no nontrivial solution with certain decay order for (1.5)
Summary
Consider the thin epitaxial film model with slope selection (Li & Liu, 2004; Shen, Wang, Wang, & Wise, 2012; Wang, Wang, & Wise, 2010; Xu & Tang 2006),. We will study the equation that is more general than the above equations (1.3) and (1.4), http://jmr.ccsenet.org
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
