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

Permalink: http://www.nusl.cz/ntk/nusl-451572


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Universities and colleges > Public universities > Charles University > Charles University Faculties (theses)
Academic theses (ETDs) > Bachelor's theses