Original title:
O rovnici div u=f
Translated title:
The equation div u = f
Authors:
Mielec, Jaromír ; Malý, Jan (advisor) ; Kaplický, Petr (referee) Document type: Bachelor's theses
Year:
2021
Language:
cze Abstract:
V této práci dáváme odpověď na otázku, zda rovnice div u = f má řešení u s gradi- entem v Lp (Rn ) pro každou pravou stranu f ∈ Lp (Rn ). Dokážeme, že je to pravda pro 1 < p < ∞ a zkonstruujeme protipříklady pro p = 1 a p = ∞. In this thesis, we answer the question whether the equation div u = f has a solution u with gradient in Lp (Rn ) for each f ∈ Lp (Rn ). We prove that this is true for 1 < p < ∞ and construct counterexamples for p = 1 and p = ∞. 1
Keywords:
Sobolev spaces|laminates|divergence; Sobolevovy prostory|laminace|divergence
Institution: Charles University Faculties (theses)
(web)
Document availability information: Available in the Charles University Digital Repository. Original record: http://hdl.handle.net/20.500.11956/147781