We consider the following fractional semilinear Neumann problem on a smooth bounded
domain Ω ⊂ R^ n Ω⊂ R n, n ≥ 2 n≥ 2,(-ε Δ) 1/2 u+ u= up, in Ω,∂ ν u= 0, on∂ Ω, u> 0, in Ω …

We propose and analyze new numerical methods to evaluate fractional norms and apply
fractional powers of elliptic operators. By means of a reduced basis method, we project to a …

We investigate the existence, uniqueness, and L 1-contractivity of weak solutions to a
porous medium equation with fractional diffusion on an evolving hypersurface. To settle the …

This thesis is concerned with the well-posedness of solutions to certain linear and nonlinear
parabolic PDEs on evolving spaces. We first present an abstract framework for the …

Controllability for the Mixed Neumann Problem for the Vibrating String, Regularity Results Page
1 Controllability for the mixed Neumann problem for the vibrating string. Regularity results …