Partial Differential Equations

Partial Differential Equations : Methods and Applications

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Appropriate for a one-term, graduate level course in Partial Differential Equations.

Designed to bridge the gap between graduate-level texts in partial differential equations and the current literature in research journals, this text introduces students to a wide variety of more modern methods -- especially the use of functional analysis -- which has characterized much of the recent development of PDEs.
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Product details

  • Hardback | 420 pages
  • 158.2 x 234.4 x 25.1mm | 761.4g
  • Pearson
  • Upper Saddle River, NJ, United States
  • English
  • 0131218808
  • 9780131218802

Table of contents

1. First-Order Equations.

2. Principles for Higher-Order Equations.

3. The Wave Equation.

4. The Laplace Equation.

5. The Heat Equation.

6. Linear Functional Analysis.

7. Differential Calculus Methods.

8. Linear Elliptic Theory.

9. Two Additional Methods.

10. Systems of Conservation Laws.

11. Linear and Nonlinear Diffusion.

12. Linear and Nonlinear Waves.

13. Nonlinear Elliptic Equations.

Hints and Solutions of Selected Exercises.


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