Poincaré-type inequalities for broken Sobolev spaces

We present two versions of general Poincaré-type inequalities for functions in broken Sobolev spaces, providing bounds for the Lq-norm of a function in terms of its broken H1-norm.

Manylion Llyfryddiaeth
Prif Awduron: Lasis, A, Suli, E
Fformat: Report
Cyhoeddwyd: Unspecified 2003
Disgrifiad
Crynodeb:We present two versions of general Poincaré-type inequalities for functions in broken Sobolev spaces, providing bounds for the Lq-norm of a function in terms of its broken H1-norm.