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Extremising $\int_0^1 f(x) f(1-x) \ \mathrm{d}x$ subject to length of $f$ and endpoints

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#calculus #optimization #calculus-of-variations #constraints #euler-lagrange-equation
35
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minimising performance using pontrayagins maximum principle

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#optimization #calculus-of-variations #optimal-control #dynamic-programming
580
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PDE and Minimal Energy

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#partial-differential-equations #mathematical-physics #calculus-of-variations #harmonic-functions
615
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Differences between Calculus of Variation and Calculus?

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#calculus #definition #calculus-of-variations
74
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How to optimize a nested functional?

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#calculus-of-variations
30
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Can Gradient Descent be applied to a functionals?

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#calculus-of-variations #gradient-descent
41
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derive Euler Lagrange

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#calculus-of-variations #euler-lagrange-equation
112
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Fundamental lemma of calculus of variations

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#lebesgue-integral #calculus-of-variations #variational-analysis
434
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Calculus of Variation with inequality constraints - Lagrange multiplier approach does not work

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#inequality #optimization #calculus-of-variations #constraints #karush-kuhn-tucker
43
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Condition for differentiable functional - Why is it defined in this exact way?

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#functional-analysis #limits #derivatives #continuity #calculus-of-variations
33
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Why does the derivative of the following function with respect to phi vanish?

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#calculus #derivatives #partial-derivative #calculus-of-variations #chain-rule
995
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Euler-Lagrange Tensor Equations

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#field-theory #mathematical-physics #tensors #calculus-of-variations #euler-lagrange-equation
48
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Smallest Interval Of A Concave Down Function With Fixed Integral

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#calculus #optimization #calculus-of-variations
185
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Non-standard calculus of variations solution leads to contradiction

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#ordinary-differential-equations #calculus-of-variations #classical-mechanics
69
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How to find the Euler-Lagrange Equation for a function that has higher order derivatives with multiple variables?

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#integration #optimization #partial-derivative #calculus-of-variations

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