Dr. Maicon Sonego

Profile

Academic positionLecturer, Assistant Professor, Researcher
Research fieldsPartial differential equations,Systems theory; control
KeywordsBackstepping Method, reaction-diffusion equations, closed-loop system, boundary control, Control Theory
Honours and awards

2024: Experienced Researcher Fellowship – CAPES / Alexander von Humboldt Foundation (AvH)

2023: Productivity Researcher (Level 2) – CNPq (Brazilian National Council for Scientific and Technological Development)

Current contact address

CountryBrazil
CityItajubá
InstitutionUniversidade Federal de Itajubá (UNIFEI)
InstituteInstituto de Matemática e Computação

Host during sponsorship

Prof. Dr. Dr. h.c. Enrique ZuazuaInstitut für Angewandte Mathematik, Friedrich-Alexander-Universität Erlangen-Nürnberg, Erlangen
Start of initial sponsorship01/04/2024

Programme(s)

2023CAPES-Humboldt Research Fellowship Programme for Experienced Researchers

Publications (partial selection)

2024Maicon Sonego: On the existence of patterns in reaction-diffusion problems with Dirichlet boundary conditions. . In: Electronic Journal of Qualitative Theory of Differential Equations, 2024,
2023Maicon Sonego, Raju Roychowdhury: A note on control of one-dimensional heterogeneous reaction-diffusion equations. . In: Evolution Equations and Control Theory, 2023,
2023Maicon Sonego, João Biesdorf: Stable transition layer for the Allen-Cahn equation when the spatial inhomogeneity vanishes on a non-smooth hypersurface in R^n. . In: Mathematical Methods in the Applied Sciences, 2023,
2022Maicon Sonego: A note on interface formation in singularly perturbed elliptic problems. . In: Complex Variables and Elliptic Equations, 2022,
2022Maicon Sonego, Arnaldo Simal do Nascimento: Stable transition layer induced by degeneracy of the spatial inhomogeneities in the Allen-Cahn problem. . In: Discrete & Continuous Dynamical Systems - B, 2022,
2021Maicon Sonego: On the internal transition layer to some inhomogeneous semilinear problems: interface location. . In: Journal of Mathematical Analysis and Applications, 2021,
2021Maicon Sonego: Stable transition layers in an unbalanced bistable equation. . In: Discrete & Continuous Dynamical Systems - B, 2021,
2020Maicon Sonego, Elard J. Hurtado: On the energy functionals derived from a non-homogeneous p-Laplacian equation: \Gamma - convergence, local minimizers and stable transition layers. . In: Journal of Mathematical Analysis and Applications, 2020,
2020Maicon Sonego: On the weakly degenerate Allen-Cahn equation. . In: Advances in Nonlinear Analysis, 2020,
2019Maicon Sonego: Stable solution induced by domain geometry in the heat equation with nonlinear boundary conditions on surfaces of revolution. . In: Discrete & Continuous Dynamical Systems - B, 2019,
2019Maicon Sonego: A note on existence of patterns on surfaces of revolution with nonlinear flux on the boundary, . In: Electronic Journal of Qualitative Theory of Differential Equations, 2019,
2018Maicon Sonego: Stability results for a reaction-diffusion problem with mixed boundary conditions and applications to some symmetric cases.. In: Journal of Mathematical Analysis and Applications , 2018,
2017Maicon Sonego: Existence of radially symmetric patterns for a diffusion problem with variable diffusivity. . In: Electronic Journal of Qualitative Theory of Differential Equations, 2017,
2016Maicon Sonego: Patterns in a balanced bistable equation with heterogeneous environments on surfaces of revolution.. In: Differential Equations & Applications, 2016,
2016Maicon Sonego: Stability and instability of solutions of semilinear problems with Dirichlet boundary condition on surfaces of revolution. . In: Electronic Journal of Qualitative Theory of Differential Equations, 2016,
2016Maicon Sonego, Arnaldo Simal do Nascimento: Stable equilibria of a singularly perturbed reaction-diffusion equation when the roots of the degenerate equation contact or intersect along a non-smooth hypersurface. . In: Journal of Evolution Equations, 2016,
2016Maicon Sonego, Arnaldo Simal do Nascimento: Stable equilibria to a singularly perturbed reaction-diffusion equation in a degenerated heterogeneous environment.. In: Journal of Mathematical Analysis and Applications, 2016,
2015Maicon Sonego, Arnaldo Simal do Nascimento: Stable Transition Layers to Singularly Perturbed Spatially Inhomogeneous Allen-Cahn Equation. . In: Advanced Nonlinear Studies, 2015,
2014Maicon Sonego, Arnaldo Simal do Nascimento: Patterns on surfaces of revolution in a diffusion problem with variable diffusibility. . In: Electronic Journal of Differential Equations, 2014,
2014Maicon Sonego, Arnaldo Simal do Nascimento: The roles of diffusivity and curvature in patterns on surfaces of revolution.. In: Journal of Mathematical Analysis and Applications, 2014,
2012Maicon Sonego, Arnaldo Simal do Nascimento, Janete Crema: Sufficient conditions on diffusivity for the existence and nonexistence of stable equilibria with nonlinear flux on the boundary. . In: Electronic Journal of Differential Equations, 2012,