Author Topic: problem in problem  (Read 641 times)

Jingxuan Zhang

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problem in problem
« on: March 30, 2018, 06:02:18 PM »
I assume problem 2.1 of http://www.math.toronto.edu/ivrii/PDE-textbook/Chapter10/S10.P.html intends to ask "Minimizing T" subject to no constrain?

Victor Ivrii

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Re: problem in problem
« Reply #1 on: March 30, 2018, 07:40:01 PM »
No constrains affecting L.-E. equations,

(A) but there is a constrain  $u(0)=0$, $u(a)=h$


(B) In fact, one can remove the last constrain.
With (A) we are looking for the fastest slide between two points (so given are horizontal projection and the difference in heights)
With (B) only horizontal projection..

http://mathworld.wolfram.com/BrachistochroneProblem.html
« Last Edit: March 31, 2018, 02:38:17 AM by Victor Ivrii »