Properties of some Sobolev-like cones

Analogs of the Sobolev space W₀ⁿ⁺¹,ᵖ(Ω), with n ∈ ℕ and p ≥ 2, are defined at the level of nuclear operators. These sets, denoted ᵥⁿ⁺¹,ᵖ, consist of trace-class operators whose eigenfunctions belong to W₀ⁿ⁺¹,ᵖ(Ω) and whose total energy is finite with respect to a suitable positive, bounded, and cont...

• Auteur principal: Baquero Morales, Daniel Andre (author)
• Format: bachelorThesis
• Publié: 2025
• Sujets: Cono tipo Sobolev; Funcional de energía libre; Operador nuclear; Sobolev-like cone; Free energy functional; Nuclear operator
• Accès en ligne: https://repositorio.yachaytech.edu.ec/handle/123456789/1006