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math.AP2023
A survey on mass conservation, self-similarity and related topics in nonlinear diffusion
Juan Luis Vázquez
We examine the validity of the principle of mass conservation for solutions of some typical equations in the theory of nonlinear diffusion, including equations in standard differen…
math.AP2023
The very singular solution for the Anisotropic Fast Diffusion Equation and its consequences
Juan Luis Vázquez
We construct the Very Singular Solution (VSS) for the Anisotropic Fast Diffusion Equation (AFDE) in the suitable good exponent range of fast diffusion. VSS is a solution that, star…