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Nonexistence of Nontrivial Stationary Solutions with Decay Order for Some Nonlinear Evolution Equations

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  • 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.

Suggested Citation

  • Jeng-Eng Lin, 2017. "Nonexistence of Nontrivial Stationary Solutions with Decay Order for Some Nonlinear Evolution Equations," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 9(3), pages 1-7, June.
    • Handle: RePEc:ibn:jmrjnl:v:9:y:2017:i:3:p:1-7
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    More about this item

    Keywords

    Thin epitaxial film model; square phase field crystal equation; Gagliardo-Nirenberg inequality; Morawetz multiplier;
    All these keywords.

    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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