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Mathematics - Analysis | Principles of Partial Differential Equations

Principles of Partial Differential Equations

Komech, Alexander, Komech, Andrew

2010

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  • Discusses the classical tools of Partial Differential Equations theory used in today’s science and engineering
  • Covers characteristics, wave propagation and the Fourier methods as well as Sobolev spaces and Green’s functions
  • Offers a problem-oriented approach

This concise book covers the classical tools of PDE theory used in today's science and engineering: characteristics, the wave propagation, the Fourier method, distributions, Sobolev spaces, fundamental solutions, and Green's functions.  The approach is problem-oriented, giving the reader an opportunity to master solution techniques.  The theoretical part is rigorous and with important details presented with care.  Hints are provided to help the reader restore the arguments to their full rigor.  Many examples from physics are intended to keep the book intuitive and to illustrate the applied nature of the subject. The book is useful for a higher-level undergraduate course and for self-study.

Content Level » Research

Keywords » Green's functions - PDEs - Sobolev space - distributions - hyperbolic equation - partial differential equation - partial differential equations - wave propagation

Related subjects » Analysis - Dynamical Systems & Differential Equations

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