Alessandro Audrito

• Regularity theory for elliptic and parabolic problems, with a special focus to geometric and free boundary problems.

ERC sectors

SDG

Open badges

• Learning to Teach (L2T)
  Issued by Politecnico di Torino on 17-09-2025

• Premio de Investigación Matemática Vicent Caselles conferred by Fundación BBVA, Real Sociedad Matemática Española, Spain (2020)

• Collegio di Ingegneria Civile ed Edile. Componente
• Collegio di Ingegneria Elettronica, delle Telecomunicazioni e Fisica. Componente
• Collegio di Ingegneria Matematica. Componente invitato

PhD

• Trasporto Ottimo e Applicazioni. A.A. 2025/26, SCIENZE MATEMATICHE. Main teacher
• Disuguaglianze di Sobolev e applicazioni a una classe di EDP ellittiche. A.A. 2024/25, SCIENZE MATEMATICHE. Main teacher
• ALCUNE GENERALIZZAZIONI DEL TEOREMA DI REIFENBERG E APPLICAZIONI AI PROBLEMI DI FRONTIERA LIBERA. A.A. 2022/23, MATEMATICA PURA E APPLICATA. Teaching assistant

Bachelor of Science

• Sistemi dinamici e metodi perturbativi. A.A. 2025/26, MATEMATICA PER L'INGEGNERIA. Collaboratore del corso
• Mathematical analysis II. A.A. 2025/26, INGEGNERIA MECCANICA (MECHANICAL ENGINEERING). Titolare del corso
• Mathematical analysis II. A.A. 2025/26, ELECTRONIC AND COMMUNICATIONS ENGINEERING (INGEGNERIA ELETTRONICA E DELLE COMUNICAZIONI). Titolare del corso
• Mathematical analysis I. A.A. 2024/25, INGEGNERIA DELL'AUTOVEICOLO (AUTOMOTIVE ENGINEERING). Titolare del corso
• Mathematical analysis I. A.A. 2023/24, INGEGNERIA DELL'AUTOVEICOLO (AUTOMOTIVE ENGINEERING). Titolare del corso
• Mathematical analysis I. A.A. 2022/23, INGEGNERIA DELL'AUTOVEICOLO (AUTOMOTIVE ENGINEERING). Titolare del corso

• Calculus of variations and applications (DISMA)
• Free boundary problems (DISMA)

• Nonlinear Analysis and Calculus of Variations (DISMA)

Projects funded by competitive calls

• MO.MO. Il tempo da prendersi per stare bene insieme, (2025-2026) - Componente gruppo di Ricerca
  Corporate-funded and donor-funded research

• Gabriele Fioravanti. Programme in Matematica Pura E Applicata (38^th cycle, 2022-2026)
  Thesis: Schauder Regularity Theory for Degenerate and Singular PDEs

• Audrito, Alessandro; Fioravanti, Gabriele; Vita, Stefano (2025)
  Higher order Schauder estimates for degenerate or singular parabolic equations. In: REVISTA MATEMATICA IBEROAMERICANA, vol. 41, pp. 1513-1554. ISSN 0213-2230
  Contributo su Rivista
• Audrito, Alessandro; Fioravanti, Gabriele; Vita, Stefano (2024)
  Schauder estimates for parabolic equations with degenerate or singular weights. In: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, vol. 63, pp. 1-46. ISSN 0944-2669
  Contributo su Rivista
• Audrito, Alessandro; Terracini, Susanna (2024)
  On the nodal set of solutions to a class of nonlocal parabolic equations. In: MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, vol. 301. ISSN 0065-9266
  Contributo su Rivista
• Audrito, Alessandro; SANZ-PERELA, Tomás (2024)
  Elliptic regularization of some semilinear parabolic free boundary problems. In: INTERFACES AND FREE BOUNDARIES, vol. 26, pp. 135-159. ISSN 1463-9963
  Contributo su Rivista
• Audrito, A.; Gárriz, A.; Quirós, F. (2024)
  Convergence in relative error for the porous medium equation in a tube. In: ANNALI DI MATEMATICA PURA ED APPLICATA, vol. 203, pp. 149-171. ISSN 1618-1891
  Contributo su Rivista
• Audrito, Alessandro; Felipe-Navarro, Juan-Carlos; Ros-Oton, Xavier (2023)
  The Neumann problem for the fractional Laplacian: regularity up to the boundary. In: ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA. CLASSE DI SCIENZE, vol. 24, pp. 1155-1222. ISSN 2036-2145
  Contributo su Rivista
• Audrito, A. (2023)
  On the existence and Hölder regularity of solutions to some nonlinear Cauchy–Neumann problems. In: JOURNAL OF EVOLUTION EQUATIONS, vol. 23, pp. 1-45. ISSN 1424-3199
  Contributo su Rivista
• Audrito, A.; Kukuljan, T. (2023)
  Regularity theory for fully nonlinear parabolic obstacle problems. In: JOURNAL OF FUNCTIONAL ANALYSIS, vol. 285. ISSN 0022-1236
  Contributo su Rivista
• Audrito, Alessandro; Serra, Joaquim (2022)
  Interface regularity for semilinear one-phase problems. In: ADVANCES IN MATHEMATICS, vol. 403. ISSN 0001-8708
  Contributo su Rivista
• Audrito, A.; Serra, E.; Tilli, P. (2021)
  A minimization procedure to the existence of segregated solutions to parabolic reaction-diffusion systems. In: COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, vol. 46, pp. 2268-2287. ISSN 0360-5302
  Contributo su Rivista
• Audrito, Alessandro; Ros-Oton, Xavier (2020)
  The Dirichlet problem for nonlocal elliptic operators with $C^{0,\alpha }$ exterior data. In: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, vol. 148, pp. 4455-4470. ISSN 0002-9939
  Contributo su Rivista
• Audrito, A.; Vazquez, J. L. (2020)
  Travelling wave behaviour arising in nonlinear diffusion problems posed in tubular domains. In: JOURNAL OF DIFFERENTIAL EQUATIONS, vol. 269, pp. 2664-2696. ISSN 0022-0396
  Contributo su Rivista
• Audrito, A (2019)
  BISTABLE REACTION EQUATIONS WITH DOUBLY NONLINEAR DIFFUSION. In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, vol. 39, pp. 2977-3015. ISSN 1078-0947
  Contributo su Rivista
• Audrito, A.; Vazquez, J. L. (2017)
  The Fisher–KPP problem with doubly nonlinear “fast” diffusion. In: NONLINEAR ANALYSIS, vol. 157, pp. 212-248. ISSN 0362-546X
  Contributo su Rivista
• Audrito, A.; Vazquez, J. L. (2017)
  The Fisher-KPP problem with doubly nonlinear diffusion. In: JOURNAL OF DIFFERENTIAL EQUATIONS, vol. 263, pp. 7647-7708. ISSN 0022-0396
  Contributo su Rivista