This book presents an introduction to the theory of multiplicative partial differential equations (MPDEs). It is suitable for all types of basic courses on MPDEs.
This book presents an introduction to the theory of multiplicative partial differential equations (MPDEs). It is suitable for all types of basic courses on MPDEs.
Svetlin G. Georgiev has worked in various areas of mathematics. He currently focuses on harmonic analysis, functional analysis, partial differential equations, ordinary differential equations, Clifford and quaternion analysis, integral equations and dynamic calculus on time scales. Khaled Zennir received his PhD in mathematics in 2013 from Sidi Bel Abbÿs University, Algeria (assist. professor). He obtained his highest diploma in Algeria (habilitation, mathematics) from Constantine University, Algeria in 2015 (assoc. professor). He is now an associate professor at Qassim University, KSA. His research interests lie in nonlinear hyperbolic partial differential equations: global existence, blow-up and long time behavior.
Inhaltsangabe
1. 1. General Introduction. 2. Classification of Second Order Multiplicative Partial Differential Equations 3. Classification and Canonical Forms. 4. The Multiplicative Wave Equation. 5. The Heat Equation. 6. The Laplace Equation. 7. The Cauchy-Kovalevskaya Theorem.
1. 1. General Introduction. 2. Classification of Second Order Multiplicative Partial Differential Equations 3. Classification and Canonical Forms. 4. The Multiplicative Wave Equation. 5. The Heat Equation. 6. The Laplace Equation. 7. The Cauchy-Kovalevskaya Theorem.
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