sobolev space उदाहरण वाक्य

उदाहरण वाक्य

1. The first step to cast the boundary value problem as in the language of Sobolev spaces is to rephrase it in its weak form.
2. The idea here is that a Sobolev space provides the natural setting for both the idea of square-integrability and the idea of differentiation.
3. Then take the Hilbert space closure with respect to this inner product, this is the Sobolev space H ^ 1 ( \ Omega ).
4. These operators lie in every Schatten class and leave invariant the Sobolev spaces and the space of entire vectors for " W ".
5. A quick calculation shows that " z & # x302; " is not just continuous, but also lies in a Sobolev space:
6. among all functions in the Sobolev space W ^ { 1, p } ( \ Omega ) satisfying the boundary conditions in the trace sense.
7. Something similar to metric in Sobolev spaces W ^ k _ p ? ( talk ) 04 : 13, 7 November 2008 ( UTC ))
8. Another approach to define fractional order Sobolev spaces arises from the idea to generalize the H�lder condition to the " L p "-setting.
9. This is typically achieved by taking the Sobolev space H ^ 2 of functions on the edges of the graph and specifying matching conditions at the vertices.
10. If however, u is the solution to some partial differential equation, it is in general a weak solution, so it belongs to some Sobolev space.