Partial Differential Equations

Partial Differential Equations : Methods and Applications

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Description

For a one-year, graduate-level course in Partial Differential Equations. Designed to bridge the gap between introductory texts in partial differential equations and the current literature in research journals, this text introduces students to the basics of classical PDEs and to a wide variety of more modern methods-especially the use of functional analysis-which has characterized much of the recent development of PDEs. Throughout, the results are almost completely self-contained.show more

Product details

  • Hardback | 452 pages
  • 152.4 x 228.6 x 27.94mm | 521.63g
  • Pearson Education (US)
  • Pearson
  • United States
  • English
  • Revised
  • 2nd Revised edition
  • 0130093351
  • 9780130093356
  • 1,013,667

Table of contents

Introduction. 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. Appendix on Physics. Hints and Solutions for Selected Exercises. References. Index. Index of Symbols.show more

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8 ratings
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2 12% (1)
1 25% (2)
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