A. D. Polyanin and A. V. Manzhirov, Handbook of Mathematics for Engineers and Scientists, Chapman & Hall/CRC Press, 2006 To book contents

13. First-Order Partial Differential Equations

• 13.1. Linear and Quasilinear Equations
  • 13.1.1. Characteristic System. General Solution
  • 13.1.2. Cauchy Problem. Existence and Uniqueness Theorem
  • 13.1.3. Qualitative Features and Discontinuous Solutions of Quasilinear Equations
  • 13.1.4. Quasilinear Equations of General Form. Generalized Solution, Jump Condition, and Stability Condition
• 13.2. Nonlinear Equations
  • 13.2.1. Solution Methods
  • 13.2.2. Cauchy Problem. Existence and Uniqueness Theorem
  • 13.2.3. Generalized Viscosity Solutions and Their Applications
• References for Chapter 13

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