Partial Differential Equations

Methods and Applications

Robert McOwen (Autor)

Buch | Hardcover

420 Seiten

1995
Pearson (Verlag)
978-0-13-121880-2 (ISBN)

Infos

Useful for a one-term, graduate level course in Partial Differential Equations and designed to bridge the gap between graduate-level texts in partial differential equations and the literature in research journals, this book introduces students to a variety of methods such as the use of functional analysis.

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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.

Inhalt

 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.


References.


Index.

Produkt-Details

• Sprache: englisch
• Maße: 158 x 236 mm
• Gewicht: 696 g
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• ISBN-10: 0-13-121880-8 / 0131218808
• ISBN-13: 978-0-13-121880-2 / 9780131218802
• Zustand: Neuware