Newbetuts

Show $\inf_f\int_0^1|f'(x)-f(x)|dx=1/e$ for continuously differentiable functions with $f(0)=0$, $f(1)=1$.

Euler-Lagrange, Gradient Descent, Heat Equation and Image Denoising

Derivative of $f(x,y)$ with respect to another function of two variables $k(x,y)$

Who that Wirtinger's inequality does not hold when $a>\pi$?

How can $y$ and $y'$ be independent in variational calculus?

Intuition behind variational principle

Variation of a differential form

Constrained variational problems intuition

What's the minimum of $\int_0^1 f(x)^2 \: dx$, subject to $\int_0^1 f(x) \: dx = 0, \int_0^1 x f(x) \: dx = 1$?

Functional differential equation (from Quantum Field Theory).

To find the minimum of $\int_0^1 (f''(x))^2dx$ [duplicate]

Why is it useful to show the existence and uniqueness of solution for a PDE?

Why does $\frac{dq}{dt}$ not depend on $q$? Why does the calculus of variations work?

Conceptual difference between strong and weak formulations

Introductory text for calculus of variations

Can this ant find its way back to the nest?

New posts in calculus-of-variations

Arnol'd's trivium problem #68

A variation of the isoperimetric problem in the plane

Is there a Lagrangian that produces these equations? How can I find one if it exists?

Assumption that $\delta q'$ is small in the derivation of Euler-Lagrange equations.

Show $\inf_f\int_0^1|f'(x)-f(x)|dx=1/e$ for continuously differentiable functions with $f(0)=0$, $f(1)=1$.

Euler-Lagrange, Gradient Descent, Heat Equation and Image Denoising

Derivative of $f(x,y)$ with respect to another function of two variables $k(x,y)$

Who that Wirtinger's inequality does not hold when $a>\pi$?

How can $y$ and $y'$ be independent in variational calculus?

Intuition behind variational principle

Variation of a differential form

Constrained variational problems intuition

What's the minimum of $\int_0^1 f(x)^2 \: dx$, subject to $\int_0^1 f(x) \: dx = 0, \int_0^1 x f(x) \: dx = 1$?

Functional differential equation (from Quantum Field Theory).

To find the minimum of $\int_0^1 (f''(x))^2dx$ [duplicate]

Why is it useful to show the existence and uniqueness of solution for a PDE?

Why does $\frac{dq}{dt}$ not depend on $q$? Why does the calculus of variations work?

Conceptual difference between strong and weak formulations

Introductory text for calculus of variations

Can this ant find its way back to the nest?