Phd in MATHEMATICAL MODELS FOR ENGINEERING, ELECTROMAGNETICS AND
NANOSCIENCES

email: francesco.petitta@uniroma1.it
phone: +390649766708
building: RM001
room: 8

Francesco Petitta is Associate Professor of Mathematical Analysis at the Faculty of Civil and Industrial Engineering of La Sapienza since 2017. At the same faculty, he has been a permanent researcher since 2011. He graduated in 2001 in Mathematics at the Department of Mathematics "G. Castelnuovo" of La Sapienza and obtained his PhD in Mathematics in 2006 at the same institution. He was a post-doc researcher at the Univ. of Granada (Spain) in 2007, at the Center of Mathematics for Applications (C.M.A), University of Oslo (Norway) from 2007 and 2009, and "Investigador Juan de la Cierva" at the University of Valencia (Spain) from 2009 to 2011. Since the "ASN 2016 session" he is qualified to the role of Full Professor in Mathematical Analysis.

He has participated in national and European research projects such as PRIN, Grupo de Analisís No Lineal y Ecuaciónes Diferenciales (Junta de Andalucia), CAS Research Group Nonlinear Partial Differential Equations (Oslo), PNPGC (MTM Spain), FSE+ (Lazio Region), and coordinated national and local projects (GNAMPA, Sapienza Ateneo, Research and Visiting Professors ). He has held doctoral courses in Italy and Spain. He visited various international scientific institutions, including Universidad Autonoma and Universidad Carlos III (Madrid), Departamento de Matemática CMUC, Universidade de Coimbra (Portugal), Departamento de Álgebra y Análisis Matemático, Alméria, (Spain). He’s been a supervisor for various PhD students and post-doc researchers. He has been an Scientific and Organizing member of international conferences in Italy and Spain, and invited speaker at national and international conferences and institutions. He has served as a referee for several international doctoral theses, National and International Projects, and a member of the GEV - Area 01 - Mathematical and Informatic Sciences, VQR 2015-2019, National Agency for Research Quality Assessment.



Concerning the
scientific research Francesco Petitta mainly deals with the qualitative and quantitative study of elliptic and parabolic Nonlinear Partial Differential Equations. In particular, he study the existence, non-existence, regularity and qualitative properties of solutions for boundary problems associated with elliptic and parabolic equations with singular data and singular non-linearities,
Local estimates, Large Solutions, asymptotic behavior,
Elliptic and parabolic equations with measure data, elliptic and parabolic capacities,
Integro-Differential and Laplacian fractional equations, Non-local phenomena,
Elliptic and parabolic equations derived from functional with linear growth (1-Laplacian, relativistic equations, Mean Curvature Equation, Transparent Media Equations ...)