$C^1$-smoothness of Nemytskii operators on Sobolev-type spaces of periodic functions

Details $C^1$-smoothness of Nemytskii operators on Sobolev-type spaces of periodic functions $C^1$-smoothness of Nemytskii operators on Sobolev-type spaces of periodic functions

2011-07-22

arxiv.org/abs/1107.4484v2

Commentat. Math. Univ. Carol., 52 (2011), N 4, p. 507--517

Mathematics

Functional Analysis

13 pages

Scientific paper

We consider a class of Nemytskii superposition operators that covers the
nonlinear part of traveling wave models from laser dynamics, population
dynamics, and chemical kinetics. Our main result is the $C^1$-continuity
property of these operators over Sobolev-type spaces of periodic functions.

Affiliated with

Also associated with

No associations

Rating

$C^1$-smoothness of Nemytskii operators on Sobolev-type spaces of periodic functions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with $C^1$-smoothness of Nemytskii operators on Sobolev-type spaces of periodic functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and $C^1$-smoothness of Nemytskii operators on Sobolev-type spaces of periodic functions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-676353