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Showing 2015 · math.APShow all
3 papers · 2 filters
math.AP2015★ 1 cited
Non-existence and instantaneous extinction of solutions for singular nonlinear fractional diffusion equations
Matteo Bonforte, Antonio Segatti, Juan Luis Vazquez
We show non-existence of solutions of the Cauchy problem in for the nonlinear parabolic equation involving fractional diffusion with…
math.AP2015★ 5 cited
Equation and dynamic boundary condition of Cahn-Hilliard type with singular potentials
Pierluigi Colli, Takeshi Fukao
The well-posedness of a system of partial differential equations and dynamic boundary conditions, both of Cahn-Hilliard type, is discussed. The existence of a weak solution and its…
math.AP2015
Nonlinear diffusions: extremal properties of Barenblatt profiles, best matching and delays
Jean Dolbeault, Giuseppe Toscani
In this paper, we consider functionals based on moments and non-linear entropies which have a linear growth in time in case of source-type so-lutions to the fast diffusion or porou…