Essentials of Partial Differential Equations

Marin Marin is Professor at the Department of Mathematics and Computer Science of the Transilvania University of Brasov. Andreas Öchsner (born 19 October 1970) is a Professor and Head of Discipline in Mechanical Engineering at Griffith University, Queensland, Australia, and is also a Conjoint Professor at the Centre for Mass and Thermal Transport in Engineering Materials at the University of Newcastle (Australia). He is the author and co-author of over 150 refereed journal papers, more than 70 conference papers and 15 book chapters in the area of advanced materials and structures. Furthermore, he is the author and co-author of five books and 13 research monographs.

• PART I: Quasilinear equations.- Operators of second order.- The theory of potential.- Elliptic operators.- Operational calculus.- Parabolic equations.- Hyperbolic equations.- Part II: Elements of distributions.- Integral formulas.- Equations of the first order.- Equations of second order.- Harmonic functions.- Weak solutions.- Regularity of the solutions.- Parabolic equations.- Hyperbolic equations.