M. Bonforte

activity

20072026

most citedExistence, Uniqueness and Asymptotic behaviour for fractional porous medium equations on bounded domains

175 citations · 580 across the 34 of their papers we have counts for

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Showing 2015 · math.APShow all

3 papers · 2 filters

math.AP2015

Infinite speed of propagation and regularity of solutions to the fractional porous medium equation in general domains

Matteo Bonforte, Alessio Figalli, Xavier Ros-Oton

We study the positivity and regularity of solutions to the fractional porous medium equations $u_{t} + (- Δ)^{s} u^{m} = 0$ in $(0, \infty) \times Ω$ , for $m > 1$ and $s \in (0, 1)$ and with Dirichle…

math.AP2015

Fractional Nonlinear Degenerate Diffusion Equations on Bounded Domains Part I. Existence, Uniqueness and Upper Bounds

Matteo Bonforte, Juan Luis Vázquez

We investigate quantitative properties of nonnegative solutions $u (t, x) \geq 0$ to the nonlinear fractional diffusion equation, $\partial_{t} u + L F (u) = 0$ posed in a bounded…

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 $R^{N}$ for the nonlinear parabolic equation involving fractional diffusion $\partial_{t} u + (- Δ)^{s} ϕ (u) = 0,$ with…