Advanced PDE Books: Expert Level Resources

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SUMMARY

The forum discussion identifies advanced resources for studying Partial Differential Equations (PDEs). Recommended texts include "Partial Differential Equations" by E.T. Copson and "Fourier Series and Boundary Value Problems" by R.V. Churchill and J.W. Brown. Additionally, "Partial Differential Equations of Mathematical Physics and Integral Equations" by Ronald B. Guenther and John W. Lee is noted for its affordability and value. Craig Evans' "Partial Differential Equations" is also highlighted, requiring a solid foundation in measure theory and functional analysis for comprehension.

PREREQUISITES
  • Understanding of basic Partial Differential Equations
  • Familiarity with measure theory
  • Knowledge of functional analysis
  • Experience with Fourier series and boundary value problems
NEXT STEPS
  • Research "Partial Differential Equations" by E.T. Copson
  • Explore "Fourier Series and Boundary Value Problems" by R.V. Churchill and J.W. Brown
  • Study "Partial Differential Equations of Mathematical Physics and Integral Equations" by Ronald B. Guenther and John W. Lee
  • Investigate measure theory and functional analysis concepts
USEFUL FOR

Mathematicians, graduate students, and researchers specializing in advanced Partial Differential Equations and mathematical physics.

Dustinsfl
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What are some books that are more advanced then the basic PDE books?
 
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One can not forget about Craig Evan's Partial Differential Equations (to make it through this book, though, you should have a good understanding of measure theory and functional analysis).
 
dwsmith said:
Do you think those are beyond Elementary Partial Differential Equations by Berg and McGregor and Applied Partial Differential Equations with Fourier series and Boundary Value Problems by Richard Haberman?

Sorry, but I haven't used any of the books you mentioned. The two books that I mentioned are recommended text for a course in partial differential equations in our undergraduate curriculum.
 

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