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math.AP2014★ 1 cited
Transformations of Self-Similar Solutions for porous medium equations of fractional type
Diana Stan, Félix del Teso, Juan Luis Vázquez
We consider four different models of nonlinear diffusion equations involving fractional Laplacians and study the existence and properties of classes of self-similar solutions. Such…
math.AP2014
Recent progress in the theory of Nonlinear Diffusion with Fractional Laplacian Operators
Juan Luis Vázquez
We report on recent progress in the study of nonlinear diffusion equations involving nonlocal, long-range diffusion effects. Our main concern is the so-called fractional porous med…