A. Lorenzi

activity

20002016

most citedA strongly ill-posed problem for a degenerate parabolic equation with unbounded coefficients in an unbounded domain

Ω \times O

R^{M + N}

3 citations · 5 across the 5 of their papers we have counts for

collaborators

5 papers

math.AP2016

Continuous dependence and uniqueness for lateral Cauchy problems for linear integro-differential parabolic equations

A. Lorenzi, L. Lorenzi, M. Yamamoto

Via Carleman estimates we prove uniqueness and continuous dependence results for lateral Cauchy problems for linear integro-differential parabolic equations without initial conditi…

math.AP2012★ 3 cited

A strongly ill-posed problem for a degenerate parabolic equation with unbounded coefficients in an unbounded domain $Ω \times O$ of $R^{M + N}$

Alfredo Lorenzi, Luca Lorenzi

In this paper we deal with a strongly ill-posed second-order degenerate parabolic problem in the unbounded open set $Ω \times O \subset R^{M + N}$ , related to a line…

math.AP2006

Parabolic integrodifferential identification problems related to radial memory kernels II

A. Favaron, A. Lorenzi

We are concerned with the problem of recovering the radial kernel $k$ , depending also on time, in the parabolic integro-differential equation $$D_{t}u(t,x)={\cal A}u(t,x)+\int_0^t…

math.AP2006

Parabolic integrodifferential identification problems related to radial memory kernels I

A. Favaron, A. Lorenzi

We are concerned with the problem of recovering the radial kernel $k$ , depending also on time, in a parabolic integro-differential equation $$D_{t}u(t,x)={\cal A}u(t,x)+\int_0^t k(…

math.FA2000★ 2 cited

Some identification problems for integro-differential operator equations

Alfredo Lorenzi, Alexander Ramm

We consider, in a Hilbert space $H$ , the convolution integro-differential equation $u^{''} (t) - h * A u (t) = f (t)$ , $0 \leq t \leq T$ , $h * v (t) = \int_{0}^{t} h (t - s) v (s) d s$ , where $A$ is a linear clos…