PRR Project

Summary

The position involves carrying out research at the Centre for Research and Development in Mathematics and Applications (CIDMA), within the scope of its Functional Analysis and Applications Group (GAFA), with the possibility of teaching up to a maximum of 4 hours per week, at the Department of Mathematics of the University of Aveiro.The research to be carried out should be performed within the scope of the activities of GAFA in the mathematical subareas of integral equations, operator theory, and their consequent applications to initial value and boundary value problems.More specifically, the candidate is expected to carry out research on convolution type equations (e.g. of Wiener-Hopf and Hankel type) and their applications, and to be able to introduce new convolutions and classes of integral equations and apply them to various applied fields (e.g. in engineering). It is also expected to be able to introduce new uncertainty principles for various integral transforms and to obtain new stability results (e.g. of the Hyers-Ulam-Rassias type) for different classes of integral equations, as well as to analyze new Fredholm theories for new classes of integral operators. Applications of these mathematical fields to boundary and initial value problems that depend on these new results are also expected. The development of new theoretical tools / results and their applications are both fundamental for the core research in Analysis carried out in GAFA.It is also expected that the prospective employee will take part in: - training and supervision activities, including mentoring graduate and undergraduate students as well as post-doctoral researchers; - fostering international contacts and collaborations; - supervision and coordination of scientific projects; - development of outreach activities.