Fractional nonlinear degenerate diffusion equations on bounded domains part I. Existence, uniqueness and upper bounds

Matteo Bonforte, Juan Luís Vázquez

Type: Article

Publication Date: 2015-11-03

Citations: 35

DOI: https://doi.org/10.1016/j.na.2015.10.005

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arXiv (Cornell University) - View - PDF
Nonlinear Analysis - View

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+	Spectral Theory and Differential Operators	2018	D. E. Edmunds Des Evans
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+	Smoothing and decay estimates for nonlinear diffusion equations : equations of porous medium type	2006	Juan Luís Vázquez
+	Fractional Nonlinear Degenerate Diffusion Equations on Bounded Domains Part I. Existence, Uniqueness and Upper Bounds	2015	Matteo Bonforte Juan Luís Vázquez
+ PDF Chat	Some theorems on stable processes	1960	Robert Blumenthal R. K. Getoor
+	The equivalence of certain heat kernel and Green function bounds	1987	E. B. Davies
+ PDF Chat	Nonnegative solutions of the initial-Dirichlet problem for generalized porous medium equations in cylinders	1988	Björn E. J. Dahlberg Carlos E. Kenig
+	Intrinsic Ultracontractivity and Conditional Gauge for Symmetric Stable Processes	1997	Zhen-Qing Chen Renming Song
+	Quantitative local and global a priori estimates for fractional nonlinear diffusion equations	2013	Matteo Bonforte Juan Luís Vázquez
+	Global positivity estimates and Harnack inequalities for the fast diffusion equation	2006	Matteo Bonforte Juan Luís Vázquez