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<div>This volume contains the contributions of the participants of the 12th ISAAC&nbsp;congress which was held at the University of Aveiro, Portugal, from July 29&nbsp;to August 3, 2019. These contributions originate from the following sessions:&nbsp;Applications of dynamical systems theory in biology,&nbsp;Complex Analysis and Partial Differential Equations,&nbsp;Complex Geometry,&nbsp;Complex Variables and Potential Theory,&nbsp;Constructive Methods in the Theory of Composite and Porous Media,&nbsp;Function Spaces and Applications,&nbsp;Generalized Functions and Applications, Geometric & Regularity Properties of Solutions to Elliptic and Parabolic PDEs,&nbsp;Geometries Defined by Differential Forms,&nbsp;Partial Differential Equations on Curved Spacetimes,&nbsp;Partial Differential Equations with Nonstandard Growth,&nbsp;Quaternionic and Clifford Analysis,&nbsp;Recent Progress in Evolution Equations,&nbsp;Wavelet theory and its Related Topics.</div>