The Mathematical Theory of Finite Element Methods pp 371-381 | Cite as

# Applications of Operator-Interpolation Theory

Chapter

Interpolation spaces are useful technical tools. They allow one to bridge between known results, yielding new results that could not be obtained directly. They also provide a concept of fractional-order derivatives, extending the definition of the Sobolev spaces used so far. Such extensions allow one to measure more precisely, for example, the regularity of solutions to elliptic boundary value problems.

## Keywords

Banach Space Sobolev Space Lipschitz Domain Equivalent Norm Interpolation Space
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## Copyright information

© Springer Science+Business Media, LLC 2008