Partial or Regular Derivative for Functional Derivative Stationary Value of 0?

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SUMMARY

The discussion centers on the determination of whether to use a partial derivative or a regular derivative when assessing the condition for a functional derivative to have a stationary value of 0. Participants emphasize the importance of specifying the functional in question to provide a more tailored response. A resource link to a relevant mathematical text is also shared for further clarification on the topic.

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  • Understanding of functional derivatives
  • Knowledge of calculus, specifically derivatives
  • Familiarity with mathematical functionals
  • Basic comprehension of stationary points in calculus
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  • Study the concept of functional derivatives in depth
  • Learn about the conditions for stationary points in calculus
  • Explore the differences between partial and regular derivatives
  • Review the provided mathematical resource on functional analysis
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Mathematicians, physics students, and anyone involved in advanced calculus or functional analysis who seeks clarity on the application of derivatives in functional contexts.

delve
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Hi,

I have a question about a functional derivative. When determining the condition that the functional derivative have a stationary value of 0, do I use a partial derivative or a regular derivative? I would really appreciate the help. Thank you!

David
 
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delve said:
Hi,

I have a question about a functional derivative. When determining the condition that the functional derivative have a stationary value of 0, do I use a partial derivative or a regular derivative? I would really appreciate the help. Thank you!

David

Could you be a little more specific what the functional is?
Regardless, here is something that you may find helpful:
http://www.math.ucdavis.edu/~hunter/m280_09/ch3.pdf
 
Thank you very much! I appreciate it! :D
 

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