Linear Holomorphic Partial Differential Equations and Classical Potential Theory - Dmitry Khavinson - Bog

Why do solutions of linear analytic PDE suddenly break down? What is the source of these mysterious singularities, and how do they propagate? Is there a mean value property for harmonic functions in ellipsoids similar to that for balls? This book invites graduate students and young analysts to explore these and many other intriguing questions that lead to beautiful results.