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4 papers · 2 filters
Stability estimates for the Radon transform with restricted data and applications
Pedro Caro, David Dos Santos Ferreira, Alberto Ruiz
In this article, we prove a stability estimate going from the Radon transform of a function with limited angle-distance data to the norm of the function itself, under some co…
A semilinear parabolic-elliptic chemotaxis system with critical mass in any space dimension
Alexandre Montaru
We study radial solutions in a ball of of a semilinear, parabolic-elliptic Patlak-Keller-Segel system with a nonlinear sensitivity involving a critical power. For $N…
Boundedness of global solutions of a p-Laplacian evolution equation with a nonlinear gradient term
Amal Attouchi
We investigate the boundedness and large time behavior of solutions of the Cauchy-Dirichlet problem for the one-dimensional degenerate parabolic equation with gradient nonlinearity…
Profiles of bounded radial solutions of the focusing, energy-critical wave equation
Thomas Duyckaerts, Carlos Kenig, Frank Merle
In this paper we consider global and non-global bounded radial solutions of the focusing energy-critical wave equation in space dimension 3. We show that any of these solutions dec…