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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Veröffentlicht in:Mathematical proceedings of the Royal Irish Academy 2001-12, Vol.101A (2), p.167-176
Hauptverfasser: Tahamtani, F., Mosaleheh, K.
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description 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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subjects Boundary conditions
Differential variability inequalities
Diffusion coefficient
Elliptic equations
Mathematical constants
Mathematical inequalities
Mathematical integrals
Mathematical theorems
Nontrivial solutions
Spatial behavior
title Spatial Behaviour of Solutions for a Class of Non-Linear Fourth-Order Parabolic Equations
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