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The p-Laplacian Problem via an Euler Equation and the Basis Properties of Its Eigenfunctions
Başlık:
The p-Laplacian Problem via an Euler Equation and the Basis Properties of Its Eigenfunctions
Yazar:
Suarez Salas, Luis R., author.
ISBN:
9780438028463
Yazar Ek Girişi:
Fiziksel Tanımlama:
1 electronic resource (63 pages)
Genel Not:
Source: Masters Abstracts International, Volume: 57-06M(E).
Advisors: Osvaldo Méndez Committee members: Behzad Djafari-Rouhani; Mohamed A. Khamsi; Jorge A. López.
Özet:
The Laplacian operator is used in many fields of science, such as fluidodynamics, mechanics and elasticity. Mathematically, much research has been devoted to develop a theory with which it and other variations can be understood. In this work, we present the p-Laplacian problem via an Euler equation. We then study the properties of its eigenfunctions which generalize the trigonometric functions sine and cosine. In connection with a Fourier series, we then show the generalized trigonometric functions possess basis properties for Lr((0,1)d), d=1,2,3. Finally, we introduce the spaces of variable exponent and the analogue p(x)-Laplacian problem which has immense applications such as in image restoration and in the modeling of electrorheological fluids.
Notlar:
School code: 0459
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Yer Numarası | Demirbaş Numarası | Shelf Location | Lokasyon / Statüsü / İade Tarihi |
---|---|---|---|
XX(693985.1) | 693985-1001 | Proquest E-Tez Koleksiyonu | Arıyor... |
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