Some basic properties of bounded solutions of parabolic equations with p-Laplacian diffusion

We provide a detailed (and fully rigorous) derivation of several fundamental properties of bounded weak solutions to initial-value problems for general conservative 2nd-order parabolic equations with p-Laplacian diffusion and (arbitrary) bounded and integrable initial data.

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Bibliographische Detailangaben
Hauptverfasser:	Chagas, Jocemar Q, Guidolin, Patrícia L, Zingano, Janaína P
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Analysis of PDEs
Online-Zugang:	Volltext bestellen
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Beschreibung
Zusammenfassung:	We provide a detailed (and fully rigorous) derivation of several fundamental properties of bounded weak solutions to initial-value problems for general conservative 2nd-order parabolic equations with p-Laplacian diffusion and (arbitrary) bounded and integrable initial data.
DOI:	10.48550/arxiv.1706.01438