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

Jeng-Eng Lin

Journal of Mathematics Research, 2017, vol. 9, issue 3, 1-7

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.

Keywords: Thin epitaxial film model; square phase field crystal equation; Gagliardo-Nirenberg inequality; Morawetz multiplier (search for similar items in EconPapers)
Date: 2017
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