Bounded extremal and Cauchy--Laplace problems on the sphere and shell

Bilal Atfeh (1) , Laurent Baratchart (1) , Juliette Leblond (1) , Jonathan R. Partington (2)

1 APICS - Analysis and Problems of Inverse type in Control and Signal processing
2 School of Mathematics [Leeds]

In this work, we develop a theory of approximating general vector fields on subsets of the sphere in $\RR^n$ by harmonic gradients from the Hardy space $H^p$ of the ball, $1

Domaines: Equations aux dérivées partielles [math.AP]

Bilal Atfeh, Laurent Baratchart, Juliette Leblond, Jonathan R. Partington. Bounded extremal and Cauchy--Laplace problems on the sphere and shell. [Research Report] 2008. ⟨inria-00272203v1⟩