The refinement of two isomorphic generalized lexicographic products
Ivo Rosenberg (1970)
Archivum Mathematicum
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Ivo Rosenberg (1970)
Archivum Mathematicum
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Rath, Nandita (2003)
International Journal of Mathematics and Mathematical Sciences
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Pavel Krejčí, Matthias Liero (2009)
Applications of Mathematics
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The Kurzweil integral technique is applied to a class of rate independent processes with convex energy and discontinuous inputs. We prove existence, uniqueness, and continuous data dependence of solutions in spaces. It is shown that in the context of elastoplasticity, the Kurzweil solutions coincide with natural limits of viscous regularizations when the viscosity coefficient tends to zero. The discontinuities produce an additional positive dissipation term, which is not homogeneous...
Ashyralyev, Allaberen, Koksal, Mehmet Emir (2007)
Discrete Dynamics in Nature and Society
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Jérôme Droniou, Thierry Gallouët (2002)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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We prove the convergence of a finite volume method for a noncoercive linear elliptic problem, with right-hand side in the dual space of the natural energy space of the problem.