Nonexistence of Nontrivial Stationary Solutions with Decay Order for Some Nonlinear Evolution Equations
- Jeng-Eng Lin
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.
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- DOI:10.5539/jmr.v9n3p1
This work is licensed under a Creative Commons Attribution 4.0 License.
- ISSN(Print): 1916-9795
- ISSN(Online): 1916-9809
- Started: 2009
- Frequency: bimonthly
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