Simone Dovetta

Associate Professor (L. 240)
Department of Mathematical Sciences (DISMA)

Profile

Research interests

Equazioni differenziali alle derivate parziali

Metodi variazionali

Partial differential equations

Perturbazioni singolari e domini non standard

Singular perturbations and nonstandard domains

Variational methods

Scientific branch

MATH-03/A - Mathematical Analysis
(Area 0001 - Mathematical and computer sciences)

Skills

ERC sectors

PE1_8 - Analysis

PE1_10 - ODE and dynamical systems

PE1_9 - Operator algebras and functional analysis

PE1_11 - Theoretical aspects of partial differential equations

Teaching

Collegi of the degree programmes

Collegio di Ingegneria Elettrica ed Energetica. Componente
Collegio di Ingegneria Meccanica, Aerospaziale e dell'Autoveicolo. Componente

Teachings

PhD

Disuguaglianze di Sobolev e applicazioni a una classe di EDP ellittiche. A.A. 2024/25, SCIENZE MATEMATICHE. Teaching assistant

Bachelor of Science

Mathematical analysis II. A.A. 2024/25, INGEGNERIA MECCANICA (MECHANICAL ENGINEERING). Titolare del corso
Analisi matematica II. A.A. 2024/25, INGEGNERIA ENERGETICA. Titolare del corso
Analisi matematica II. A.A. 2024/25, INGEGNERIA MECCANICA. Titolare del corso
Mathematical analysis II. A.A. 2023/24, INGEGNERIA MECCANICA (MECHANICAL ENGINEERING). Titolare del corso
Analisi matematica II. A.A. 2023/24, INGEGNERIA ENERGETICA. Titolare del corso
Mathematical analysis II. A.A. 2022/23, INGEGNERIA DELL'AUTOVEICOLO (AUTOMOTIVE ENGINEERING). Titolare del corso
Analisi matematica II. A.A. 2022/23, INGEGNERIA ENERGETICA. Titolare del corso
Algebra lineare e geometria. A.A. 2021/22, INGEGNERIA AEROSPAZIALE. Collaboratore del corso

MostraNascondi A.A. passati

Research

Research fields

Theoretical analysis of mathematical models with singularities for interacting systems (DISMA)

Research groups

Nonlinear Analysis and Calculus of Variations (DISMA)

Research projects

Projects funded by competitive calls

NoDES - Nonlinear dispersive equations in presence of singularities, (2023-2025) - Responsabile Scientifico
Nationally funded research - PRIN

Publications

Latest publications View all publications in Porto@Iris

Boni, F.; Dovetta, S.; Serra, E. (2025)
Normalized ground states for Schrödinger equations on metric graphs with nonlinear point defects. In: JOURNAL OF FUNCTIONAL ANALYSIS, vol. 288, pp. 1-40. ISSN 0022-1236
Contributo su Rivista
Dovetta, Simone (2025)
Nonuniqueness of normalized ground states for nonlinear Schrödinger equations on metric graphs. In: PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, vol. 130, pp. 1-33. ISSN 0024-6115
Contributo su Rivista
Chen, H.; Dovetta, S.; Pistoia, A.; Serra, E. (2024)
Existence and multiplicity of peaked bound states for nonlinear Schrödinger equations on metric graphs. In: NONLINEARITY, vol. 37, pp. 1-31. ISSN 0951-7715
Contributo su Rivista
Ayuso De Dios, B.; Dovetta, S.; Spinolo, L. V. (2024)
On the continuum limit of epidemiological models on graphs: Convergence and approximation results. In: MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES, vol. 34, pp. 1483-1532. ISSN 0218-2025
Contributo su Rivista
Dovetta, S. (2024)
Singular limit of periodic metric grids. In: ADVANCES IN MATHEMATICS, vol. 444, pp. 1-52. ISSN 0001-8708
Contributo su Rivista