Spatial Behaviour of Solutions for a Class of Non-Linear Fourth-Order Parabolic Equations

In this paper we establish a spatial growth estimate for a class of non-linear fourth-order parabolic equations. Alternatively, the results may be viewed as theorems of Phragmen-Lindelöf type. We conclude the paper by extending results for a type of non-linear diffusivity term.

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Bibliographische Detailangaben
Veröffentlicht in:	Mathematical proceedings of the Royal Irish Academy 2001-12, Vol.101A (2), p.167-176
Hauptverfasser:	Tahamtani, F., Mosaleheh, K.
Format:	Artikel
Sprache:	eng
Schlagworte:	Boundary conditions Differential variability inequalities Diffusion coefficient Elliptic equations Mathematical constants Mathematical inequalities Mathematical integrals Mathematical theorems Nontrivial solutions Spatial behavior
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Beschreibung
Zusammenfassung:	In this paper we establish a spatial growth estimate for a class of non-linear fourth-order parabolic equations. Alternatively, the results may be viewed as theorems of Phragmen-Lindelöf type. We conclude the paper by extending results for a type of non-linear diffusivity term.
ISSN:	1393-7197