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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.
openaire +2 more sources
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
exaly