Excursion Through Partial Differential Equations

Svetlin G. Georgiev (born 1974, Bulgaria) has worked in various areas of mathematics. His current focus lies on harmonic analysis, functional analysis, partial differential equations, ordinary differential equations, Clifford and quaternion analysis, integral equations, and dynamic calculus on time scales. He has authored or co-authored several books, including "Real Quaternionic Calculus Handbook" (2014), "Fractional Dynamic Calculus and Fractional Dynamic Equations on Time Scales" (2018), "Functional Dynamic Equations on Time Scales" (2019), "Theory of Distributions" (2021, now in its second edition), and "Fuzzy Dynamic Equations, Dynamic Inclusions and Optimal Control Problems on Time Scales" (2021), all published with Springer.

• Preface.- General Introduction.- First Order Partial Differential Equations.- Classifications of Second Order Partial Differential Equations.- Classifications and Canonical Forms for Linear Second Order Partial Differential Equations.- The Laplace Equation.- The Heat Equation.- The Wave Equation.- Solutions, Hints and Answers to the Exercises.- Solutions, Hints and Answers to the Problems.- Index.