Results 141 to 150 of about 1,669 (189)
A Posteriori Error Analysis for a Coupled Stokes-Poroelastic System with Multiple Compartments. [PDF]
J Sci ComputFumagalli I, Parolini N, Verani M.
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Directional flow in perivascular networks: mixed finite elements for reduced-dimensional models on graphs. [PDF]
J Math BiolGjerde IG +3 more
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2018
AbstractThis chapter presents a selection of some of the most important results in the theory of Sobolev spacesn. Special emphasis is placed on embedding theorems and the question as to whether an embedding map is compact or not. Some results concerning the k-set contraction nature of certain embedding maps are given, for both bounded and unbounded ...
D. E. Edmunds, W. D. Evans
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AbstractThis chapter presents a selection of some of the most important results in the theory of Sobolev spacesn. Special emphasis is placed on embedding theorems and the question as to whether an embedding map is compact or not. Some results concerning the k-set contraction nature of certain embedding maps are given, for both bounded and unbounded ...
D. E. Edmunds, W. D. Evans
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2007
Abstract In this chapter we define Sobolev spaces which are the ‘natural’ spaces of functions in which to solve variational formulations of partial differential equations. Physically, Sobolev spaces can be interpreted as spaces of functions with finite energy.
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Abstract In this chapter we define Sobolev spaces which are the ‘natural’ spaces of functions in which to solve variational formulations of partial differential equations. Physically, Sobolev spaces can be interpreted as spaces of functions with finite energy.
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A surprising formula for Sobolev norms
Proceedings of the National Academy of Sciences of the United States of America, 2021Jean Van Schaftingen, Po-Lam Yung
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