19 citations · 54 across the 26 of their papers we have counts for
27 papers
Singular convergence for semilinear wave equations with steep potential well
Martino Prizzi
We consider a semilinear wave equation in the whole space with a deep potential well. We prove that as the depth of the well tends to infinity, the solutions of the equation conver…
Reconstruction of the initial condition in parabolic equations with Log-Lipschitz coefficients
Daniele Del Santo, Martino Prizzi
We consider a parabolic equation whose coefficients are Log-Lipschitz continuous in and Lipschitz continuous in . Combining a recent conditional stability result with a well…
Conditional stability up to the final time for backward-parabolic equations with Log-Lipschitz coefficients
Daniele Casagrande, Daniele Del Santo, Martino Prizzi
We prove logarithmic conditional stability up to the final time for backward-parabolic operators whose coefficients are Log-Lipschitz continuous in and Lipschitz continuous in…
Well-posedness for hyperbolic equations whose coefficients lose regularity at one point
Martino Prizzi, Daniele Del Santo
We prove some and Gevrey well-posedness results for hyperbolic equations whose coefficients lose regularity at one point.
On backward uniqueness for parabolic equations when Osgood continuity of the coefficients fails at one point
Daniele Del Santo, martino Prizzi
We prove uniqueness for backward parabolic equations whose coefficients are Osgood continuous in time for but not at .
Conditional stability for backward parabolic operators with Osgood continuous coefficients
Daniele Casagrande, Daniele Del Santo, Martino Prizzi
We prove continuous dependence on initial data for a backward parabolic operator whose leading coefficients are Osgodd continuous in time. This result fills the gap between uniquen…