Hyperbolic Partial Differential Equations

Description

This excellent introduction to hyperbolic differential equations is devoted to linear equations and symmetric systems, as well as conservation laws. The book is divided into two parts. The first, which is intuitive and easy to visualize, includes all aspects of the theory involving vector fields and integral curves; the second describes the wave equation and its perturbations for two- or three-space dimensions.

Over 100 exercises are included, as well as "do it yourself" instructions for the proofs of many theorems. Only an understanding of differential calculus is required. Notes at the end of the self-contained chapters, as well as references at the end of the book, enable ease-of-use for both the student and the independent researcher.

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1. Ebooks list page : 3023
2. Partial Differential Equations IV: Microlocal Analysis and Hyperbolic Equations
3. Multi-dimensional Hyperbolic Partial Differential Equations: First-order Systems and Applications
4. Beyond Partial Differential Equations: On Linear and Quasi-Linear Abstract Hyperbolic Evolution Equations
5. Beyond Partial Differential Equations: On Linear and Quasi-Linear Abstract Hyperbolic Evolution Equations
6. Partial Differential Equations III: The Cauchy Problem. Qualitative Theory of Partial Differential Equations
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11. Handbook of Differential Equations:Stationary Partial Differential Equations, Volume 1
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13. Handbook of Differential Equations: Stationary Partial Differential Equations, Vol. 6
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16. Numerical Partial Differential Equations: Conservation Laws and Elliptic Equations