Galerkin approximations to non-linear pseudo-parabolic partial differential equations.
William H. Ford (1976)
Aequationes mathematicae
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William H. Ford (1976)
Aequationes mathematicae
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Georgios Akrivis, Charalambos Makridakis (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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We consider discontinuous as well as continuous Galerkin methods for the time discretization of a class of nonlinear parabolic equations. We show existence and local uniqueness and derive optimal order optimal regularity error estimates. We establish the results in an abstract Hilbert space setting and apply them to a quasilinear parabolic equation.
Nabil R. Nassif (1975)
Publications mathématiques et informatique de Rennes
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Chandan S. Vora (1973)
Rendiconti del Seminario Matematico della Università di Padova
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Dean Ives (2010)
Commentationes Mathematicae Universitatis Carolinae
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We show that the following well-known open problems on existence of Lipschitz isomorphisms between subsets of Hilbert spaces are equivalent: Are balls isomorphic to spheres? Is the whole space isomorphic to the half space?
J. A. Nitsche (1978)
Publications mathématiques et informatique de Rennes
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Itai Benjamini, Alexander Shamov (2015)
Analysis and Geometry in Metric Spaces
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It is shown that every bi-Lipschitz bijection from Z to itself is at a bounded L1 distance from either the identity or the reflection.We then comment on the group-theoretic properties of the action of bi-Lipschitz bijections.
Tadeusz Mostowski (2004)
Banach Center Publications
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Adam Parusiński (2005)
Annales Polonici Mathematici
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Given a Lipschitz stratification 𝒳 that additionally satisfies condition (δ) of Bekka-Trotman (for instance any Lipschitz stratification of a subanalytic set), we show that for every stratum N of 𝒳 the distance function to N is locally bi-Lipschitz trivial along N. The trivialization is obtained by integration of a Lipschitz vector field.