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5 papers · 2 filters
Slow time behavior of the semidiscrete Perona-Malik scheme in dimension one
Maria Colombo, Massimo Gobbino
We consider the long time behavior of the semidiscrete scheme for the Perona-Malik equation in dimension one. We prove that approximated solutions converge, in a slow time scale, t…
On the Dirichlet semigroup for Ornstein -- Uhlenbeck operators in subsets of Hilbert spaces
Giuseppe Da Prato, Alessandra Lunardi
We consider a family of self-adjoint Ornstein--Uhlenbeck operators in an infinite dimensional Hilbert space H having the same gaussian invariant measure for all $α\in [0…
Quantization for the prescribed Q-curvature equation on open domains
Luca Martinazzi
We discuss compactness, blow-up and quantization phenomena for the prescribed -curvature equation on open domains of . Under natural integral a…
Boundary regularity for elliptic systems under a natural growth condition
Lisa Beck
We consider weak solutions of second order nonlinear elliptic systems of the type in…
Existence of solutions to a higher dimensional mean-field equation on manifolds
Luca Martinazzi, Mircea Petrache
For we prove an existence result for the equation on a closed Riemannian manifold of dimension for certa…