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Titlebook: Nonlinear Diffusion Equations and Their Equilibrium States, 3; Proceedings from a C N. G. Lloyd,W. M. Ni,J. Serrin Conference proceedings 1

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Fabrice Bethuel,Jean-Michel Coron,Jean-Michel Ghidaglia,Alain Soyeur
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V. A. Galaktionov,M. A. Herrero,J. J. L. Velázquez
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Conference proceedings 1992so­ lutions, the existence of interfaces or free boundaries, the question as to whether or not the solution can be continued for all time, the asymptotic behavior, both in time and space, and the development of singularities, for instance when the solution ceases to exist after finite time, either through extinction or through blow up.
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1421-1750 math­ ematical questions posed by such equations and the important role they play in many areas of science and technology. Examples of current inter­ est are biological and chemical pattern formation, semiconductor design, environmental problems such as solute transport in groundwater flow, phase t
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Conference proceedings 1992tical questions posed by such equations and the important role they play in many areas of science and technology. Examples of current inter­ est are biological and chemical pattern formation, semiconductor design, environmental problems such as solute transport in groundwater flow, phase transitions
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A Parabolic Equation with a Mean-Curvature Type Operator,e asymptotically linear as the gradient tends to infinity [12]; in particular this leads to the parabolic equation .. = . [6]. Observe that here . is supposed to be a ., i.e. . is single-valued, in contrast to the geometric origin of the operator ., where one considers . which may correspond very well to multi-valued functions ..
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