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13 papers · 2 filters
Local and Global Well-posedness of the fractional order EPDiff equation on
Martin Bauer, Joachim Escher, Boris Kolev
Of concern is the study of fractional order Sobolev--type metrics on the group of -diffeomorphism of and on its Sobolev completions $\mathcal{D}^{q}(\m…
Large deviations and mixing for dissipative PDE's with unbounded random kicks
Vojkan Jaksic, Vahagn Nersesyan, Claude-Alain Pillet +1
We study the problem of exponential mixing and large deviations for discrete-time Markov processes associated with a class of random dynamical systems. Under some dissipativity and…
The second eigenvalue of the fractional Laplacian
Lorenzo Brasco, Enea Parini
We consider the eigenvalue problem for the {\it fractional Laplacian} in an open bounded, possibly disconnected set , under homogeneous Dirichlet boundar…
Nonlocal equations with measure data
Tuomo Kuusi, Giuseppe Mingione, Yannick Sire
We develop an existence, regularity and potential theory for nonlinear integrodifferential equations involving measure data. The nonlocal elliptic operators considered are possibly…
The incompressible Navier-Stokes system with time-dependent Robin-type boundary conditions
Sylvie Monniaux, El Maati Ouhabaz
We show that the incompressible 3D Navier-Stokes system in a C 1;1 bounded domain or a bounded convex domain with a non penetration condition u = 0 at the boundary @ together with…
On the existence threshold for positive solutions of p-laplacian equations with a concave-convex nonlinearity
Fernando Charro, Enea Parini
We study the following boundary value problem with a concave-convex nonlinearity: \begin{equation*} \left\{ \begin{array}{r c l l} -Δ_p u & = & Λ\,u^{q-1}+ u^{r-1} & \textrm{in }Ω,…