Fundamental Solutions of Linear Partial Differential Operators

• ​Introduction.- I. Distributions and Fundamental Solutions.- II. General Principles for Fundamental Solutions.- III. Parameter Integration.- IV. Quasihyperbolic Systems.- V. Fundamental Matrices of Homogeneous Systems.- Appendix: Table of Operators/Systems with References to Fundamental Solutions/Matrices.- References.- Index.

“The monograph is written in a concise style with rigorous proofs and precise reference to the corresponding literature … . Any topic is motivated and explained by concrete applications to equations and systems coming from physics. … In conclusion, the monograph of Ortner and Wagner is highly recommended to everyone interested in distribution theory and explicit formulas for elementary solutions.” (Michael Langenbruch, zbMATH 1336.35003, 2016)