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Mathematical Analysis, Probability and Statistics

About us

Emilio ACERBI   
Calculus of variations and especially:
- the aspects concerning the mechanics of elastic solids and recently fluids
- some cases of energies possessing a bulk and a surface part, with links to image reconstruction and micromagnetic materials
IRIS - Scopus - WOS


IRIS - Scopus

Paolo BARONI   
Regularity for elliptic and parabolic PDEs, in particular of p-Laplacian type: Calderón-Zygmund estimates, Linear & nonlinear potentials.
Adams theorems & fine differentiability properties for measure data problems, mainly of parabolic type: DiBenedetto intrinsic geometry approach.
Regularity estimates for (possibly degenerate) phase transition problems. Hölder estimates & Harnack inequalities.
IRIS - Scopus

Marino BELLONI   
Calculus of Variations, and more specifically
- Variational problems not convex and not coercive (Newton's Problem of minimal resistance)
- The Lavrentiev phenomenon
- Regularity and simplicity of the first eigenvalue of the infinity Laplacian operator
- Shape optimization problems in the class of convex domains
IRIS - Scopus

Filippo CAGNETTI   
Calculus of variations.
IRIS - Scopus

Pietro CELADA   
Calculus of variations: semicontinuity of integral functionals, existence of minimizers for variational problems without lower semicontinuity and differential inclusions.
- Scopus

Alessandra COSCIA   
For several years her research focused on the Calculus of Variations, studying in particular functions of Bounded Variation, existence problems, image reconstruction and problems in fracture mechanics.
Presently she is conducting a research of medical interest, in partnership with the Allergological Department of the children section of the Parma Hospital and with several hospitals in the region Emilia Romagna, in charge of data management and mathematical-informatic-statistical treatment of data.
In particular these researches address children allergies, diabetes and respiratory diseases.

IRIS - Scopus - WOS

Calculus of variations.
IRIS - Scopus

Degenerate and nondegenerate elliptic and parabolic operators with unbounded coefficients in unbounded domains;
Reaction-diffusion systems and Free boundary problems with particular attention to the stability analysis.
- Scopus

Giuseppe MINGIONE   
Calculus of variations, elliptic and parabolic PDE
- Scopus - WOS

Francesco MORANDIN 
Dyadic shell models in fluid mechanics. In particular, anomalous dissipation for nonlinear models (both deterministic and stochastic) derived from the 3-dimensional Euler and Navier-Stokes equations.
Urn processes. In particular, large deviations principles in generalized urn models.
Branchig processes. In particular applied to the construction of explicit solutions of nonlinear ODE's.
Statistical mechanics. In particular, spin glass models related to error correcting codes: random energy model, random codes, LDPC codes, turbocodes.

Massimiliano MORINI   
- nonlocal geometric flows
- free-discontinuity problems: regularity, minimality conditions, variational approximation
- quasistatic evolution in plasticity problems
- Gamma-convergence
- variational image processing
- quasilinear elliptic equations in phase transitions problems
- Scopus

Domenico MUCCI   
Calculus of Variations and Geometric Measure Theory
IRIS - Scopus - WOS

Giampiero PALATUCCI   
Calculus of Variations and PDE
Keywords: Phase transitions, Concentration, Homogenization, critical Sobolev embeddings, Nonlocal singular perturbations, Fractional operators, Dislocations, Gamma-convergence, Minimal surfaces, Measure data, Regularity in non-rearrangement spaces, Calderón-Zygmund, Yamabe problem, Obstacle problem.
IRIS - Scopus - WOS

Stefano PANIZZI   
- Hyperbolic equations: local/global in time solvability of nonlinear hyperbolic equations (Kirchhoff -string equation); well-posedness of the mixed problem for higher  order linear/nonlinear equations in bounded domains; unilateral problems; propagation of regularity for semilinear wave equations.
- Wave scattering: variational formulations of time-domain boundary integral equations.
- Nonlinear ODEs: stability of periodic solutions.
IRIS - Scopus

Alessandro ZACCAGNINI   
- Distribution of prime numbers (also in short intervals or arithmetic progressions) and additive problems similar to Goldbach's.
- Some properties of the Riemann zeta-function.
IRIS - Scopus

Graduate Students

Ciclo XXXVI. Advisor: A. Lunardi

Ciclo XXXVI. Advisor: G. Palatucci

National Research Projects

PRIN 2022 - Geometric Evolution Problems and Shape Optimization (GEPSO) (2022E9CF89)
Coordinatore Nazionale: N. Fusco (Università di Napoli Federico II). Coordinatore Locale Unità di Parma: M. Morini.

PRIN PNRR - Magnetic skyrmions, skyrmionic bubbles and domain walls for spintronic applications (P2022WJW9H)
Coordinatore Nazionale: C. Muratov (Università di Pisa). Coordinatore Locale Unità di Parma: M. Morini.

Pubblicato Mercoledì, 25 Giugno, 2014 - 12:09 | ultima modifica Giovedì, 26 Ottobre, 2023 - 12:16