Ricerca

Daniela Sforza's scientific interests include partial differential equations and control theory.

Her research topics regard the stabilization of general second order integro-differential evolution equations with semilinear source terms. In particular, the problem to derive decay estimates for the energy of the solutions under the assumptions of analogous decay conditions for the integral kernels.

Her current research is mainly concerned with the control of evolution equations. In view of the duality between controllability and observability assured by the Hilbert Uniqueness Method due to Jacques-Louis Lions, in her research papers Daniela Sforza utilizes non-harmonic analysis techniques to obtain observability estimates for the solutions of evolution equations with memory.

List of talks of the last years:

``Hidden regularity for viscoelastic problems"

XXI Congresso U.M.I.,

Pavia, 2 - 7 settembre 2019.

``The direct inequality for second order evolution equations with memory"

Indam Intensive Period 2019 ``Shape optimization, control and inverse problems for PDEs''

Naples, July 9 2019.

``Regularity features for integrodifferential equations"

International Conference on Elliptic and Parabolic Problems, Gaeta (Italy), May 20 - 24, 2019.

``Hidden regularity for evolution equations with memory"

New trends in control of evolution systems, Gran Sasso Science Institute - GSSI L'Aquila, April 20 - 21, 2018.

``Impacts on reachability for coupled integro-differential equations"

BIRS Workshop Women in Control: New Trends in Infinite Dimensions, Banff (Canada), July 16 - 21, 2017.

``Consequences of coupling in control problems with memory"

International Conference on Elliptic and Parabolic Problems, Gaeta (Italy), May 22 - 26, 2017.

Problemi di raggiungibilità per equazioni integro-differenziali, Alfredo Lorenzi Analysis Seminar, Dipartimento di

Matematica ''F. Enriques'' Università di Milano, 14 marzo 2017.

``Observability and partial observability for viscoelastic systems"

New advances in PDE's, Inverse Problems and Control Theory, Parma July 6 - 10, 2015.

``Effects of memory terms on observability inequalities"

27th IFIP TC7 Conference 2015 Sophia Antipolis, June 29 - July 3, 2015.

``Problemi di raggiungibilità per equazioni integro-differenziali"

INCONTRO DI MATEMATICA ALLA SAPIENZA, Roma 16 - 17 febbraio 2015.