Dr. Thomas Lewis

Mathematics and Statistics
College of Arts and Sciences
Associate Professor, 2019

An Introduction To Viscosity Solutions for Fully Nonlinear PDE with Applications to Calculus of Variations in L∞
by Nikos Katzourakis

After years of struggling with understanding the nuances in the definition of a viscosity solution on my quest to numerically approximate them, I came upon a preprint for this book. The manuscript introduced the theory in a clear way that allowed me to appreciate the ideas at a much deeper level and inspired much of my most impactful work. When beginning research with a graduate student, I always share this manuscript without hesitation.

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