Free boundary problems for degenerate parabolic equations

1988 ◽  
pp. 102-130
Author(s):  
Li Huilai
Keyword(s):  
Free Boundary ◽  
Parabolic Equations ◽  
Free Boundary Problems ◽  
Degenerate Parabolic Equations ◽  
Boundary Problems ◽  
Degenerate Parabolic

scholarly journals Some free boundary problems involving non-local diffusion and aggregation

2015 ◽  
Vol 373 (2050) ◽  
pp. 20140275 ◽  
Author(s):  
José Antonio Carrillo ◽  
Juan Luis Vázquez
Keyword(s):  
Parabolic Equations ◽  
Free Boundary Problems ◽  
Diffusion Theory ◽  
Degenerate Parabolic Equations ◽  
Free Boundaries ◽  
Boundary Problems ◽  
Recent Trends ◽  
Non Local ◽  
Degenerate Parabolic

We report on recent progress in the study of evolution processes involving degenerate parabolic equations which may exhibit free boundaries. The equations we have selected follow two recent trends in diffusion theory: considering anomalous diffusion with long-range effects, which leads to fractional operators or other operators involving kernels with large tails; and the combination of diffusion and aggregation effects, leading to delicate long-term equilibria whose description is still incipient.

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