Analysis

The Analysis group studies problems of existence, nonexistence, multiplicity, uniqueness and asymptotic behavior related to elliptic, parabolic and hyperbolic problems.

In the elliptic context the main interest are problems with Dirichlet boundary conditions involving the operators: Laplacian, p-Laplacian, Fractional Laplacian and the second order uniformly elliptic linear operators.

In the context of evolution, there is an interest in problems with Dirichlet and Neumann boundary conditions related to the qualitative theory of evolution equations, semigroup theory, optimal control theory and controllability.

Research Lines

Elliptic Partial Differential Equations, Differential Equations of Evolution and their applications, Stability of Systems of Partial Differential Equations.

Researchers

	Anderson Luis Albuquerque Araújo Qualitative Theory of Equations and System of Parabolic Partial Differential Equations, Theory of Control and Controllability of Equations and System of Parabolic Partial Differential Equations, Theory of Approximation and Semigroups, Theory of Non-variational Elliptic Equations.
	Aldo Henrique de Souza Medeiros Functional Analysis and Partial Differential Equations, more specifically: Studies and applications of infinite dimensional vector spaces, Fourier transform and applications in elliptic PDEs, Sobolev’s spaces and fractional order operators, variational methods and regularity theory in elliptic PDEs.
	Lais Moreira dos Santos Elliptic Partial Differential Equations, Problems of Existence and Uniqueness, Comparison Principles, Bifurcation Theory, Strongly Singular Problems, Non-Local Problems.