Existence of solutions to the (rot,div)-system in L₂-weighted spaces

• Autorzy: Wojciech M. Zajączkowski
• Języki publikacji: EN

Abstrakty

EN

The existence of solutions to the elliptic problem rot v = w, div v = 0 in Ω ⊂ ℝ³, $v·n̅|_S = 0$, S = ∂Ω, in weighted Hilbert spaces is proved. It is assumed that Ω contains an axis L and the weight is a negative power of the distance to the axis. The main part of the proof is devoted to examining solutions in a neighbourhood of L. Their existence in Ω follows by regularization.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2009
• Tom: 36
• Numer: 1
• Strony: 83-106

Daty

wydano

2009

Twórcy

autor

Wojciech M. Zajączkowski

• Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-956 Warszawa, Poland
• Institute of Mathematics and Cryptology, Cybernetics Faculty, Military University of Technology, Kaliskiego 2, 00-908 Warszawa, Poland

Identyfikatory

DOI

10.4064/am36-1-7