Institut für Angewandte Mathematik

Institut für Angewandte Mathematik (Math D)
Antonio Arnal, PhD

Postal Address	Technische Universität Graz Institut für Angewandte Mathematik Steyrergasse 30 8010 Graz Austria
Room	ST 03 244
Electronic Mail	aarnalperez@tugraz.at

Project
FWF Project P33568 Approximation problems for Dirac and Schrödinger operators
Research Interests
non-self-adjoint differential operator Schrödinger and Dirac operators, wave equation spectral theory of unbounded linear operators theory of C0-semigroups stochastic processes in mathematical finance
Publications
A. Arnal and P. Siegl, Resolvent estimates for one-dimensional Schrödinger operators with complex potentials, J. Funct. Anal. 284, 9 (2023), 109856, arXiv.
Submitted Papers
A. Arnal, Resolvent estimates for the one-dimensional damped wave equation with unbounded damping, arXiv. A. Arnal and P. Siegl, Generalised Airy operators, arXiv.
PhD Thesis
A. Arnal Pérez, Resolvent estimates for non-self-adjoint differential operators in one dimension, PhD Thesis (Mathematics), Queen's University Belfast, 2023.