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...

• Prif Awdur: Baquero Morales, Daniel Andre (author)
• Fformat: bachelorThesis
• Cyhoeddwyd: 2025
• Pynciau: Cono tipo Sobolev; Funcional de energía libre; Operador nuclear; Sobolev-like cone; Free energy functional; Nuclear operator
• Mynediad Ar-lein: https://repositorio.yachaytech.edu.ec/handle/123456789/1006