Potential methods in continuum mechanics.
Gegelia, T., Jentsch, L. (1994)
Georgian Mathematical Journal
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Gegelia, T., Jentsch, L. (1994)
Georgian Mathematical Journal
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Akio Ito, Nobuyuki Kenmochi, Noriaki Yamazaki (2008)
Applications of Mathematics
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We consider a phase-field model of grain structure evolution, which appears in materials sciences. In this paper we study the grain boundary motion model of Kobayashi-Warren-Carter type, which contains a singular diffusivity. The main objective of this paper is to show the existence of solutions in a generalized sense. Moreover, we show the uniqueness of solutions for the model in one-dimensional space.
Mahé, Louis, Mináč, Ján, Smith, Tara L. (2004)
Documenta Mathematica
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Marek Cúth (2014)
Commentationes Mathematicae Universitatis Carolinae
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We prove some generalizations of results concerning Valdivia compact spaces (equivalently spaces with a commutative retractional skeleton) to the spaces with a retractional skeleton (not necessarily commutative). Namely, we show that the dual unit ball of a Banach space is Corson provided the dual unit ball of every equivalent norm has a retractional skeleton. Another result to be mentioned is the following. Having a compact space , we show that is Corson if and only if every continuous...
Liu, Xiaochun, Witt, Ingo (2004)
Documenta Mathematica
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Bacuta, C., Mazzucato, A.L., Nistor, V., Zikatanov, L. (2010)
Documenta Mathematica
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Hruska, G.Christopher, Kleiner, Bruce (2005)
Geometry & Topology
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Natroshvili, D. (1996)
Georgian Mathematical Journal
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Bezzarga, Mounir, Kefi, Khaled (2005)
Fractional Calculus and Applied Analysis
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2000 Mathematics Subject Classification: Primary 26A33; Secondary 47G20, 31B05 We study a singular value problem and the boundary Harnack principle for the fractional Laplacian on the exterior of the unit ball.