sobolev space meaning in Hindi

Examples

1. Sobolev spaces are often considered when investigating partial differential equations.
2. There exist other generalizations of the Poincar?inequality to other Sobolev spaces.
3. Moreover, they leave invariant each of the Sobolev spaces.
4. They carry each Sobolev space into the Schwartz functions.
5. In this case the original operator defines a Fredholm operator between the Sobolev spaces.
6. Let be the complement of } } and define restricted Sobolev spaces analogously for.
7. enlargements of the Sobolev spaces ( ? ) } } have to be considered.
8. The Sobolev space is defined to the Hilbert space completion of this space for the norm
9. Their action on L " p " and Sobolev spaces is discussed in.
10. A precise definition and proof of the decomposition requires the problem to be formulated on Sobolev spaces.