an:00480217
Zbl 0791.35096
Simader, Christian G.; Sohr, Hermann
A new approach to the Helmholtz decomposition and the Neumann problem in \(L^ q\)-spaces for bounded and exterior domains
EN
Galdi, Giovanni Paolo (ed.), Mathematical problems relating to the Navier-Stokes equation. River Edge, NJ: World Scientific Publishing Co. Ser. Adv. Math. Appl. Sci. 11, 1-35 (1992).
1992
a
35Q30 35J05 46N20 35A05 35B35
bounded domains; exterior domains; existence; uniqueness; stability
The authors present a new approach to Helmholtz decomposition and the Neumann problem in \(L^ q\) spaces for bounded and exterior domains. A number of theorems are presented for its existence, uniqueness and stability.
The paper is purely theoretical in nature and very useful for theoretical researches.
For the entire collection see [Zbl 0780.00006].
P.K.Mahanti (Ranchi)