most recent 30 from http://mathoverflow.net 2013-05-25T01:26:25Z http://mathoverflow.net/feeds/question/110522 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/110522/minimization-of-absolute-value-of-two-dimensional-integral-function profiles114077814685864605389 2012-10-24T08:35:05Z 2012-10-24T08:35:05Z

<p>Is there any analytical way to find the global minimum of the equation in form of</p> <p>$I =|\int_{x=0}^{a}\int_{y=0}^{b}L(x,y,z(x,y),\frac{dz(x,y)}{dx},\frac{dz(x,y)}{dy},\frac{d^2z(x,y)}{dx^2},\frac{d^2z(x,y)}{dy^2},\frac{d^2z(x,y)}{dxdy})dxdy|^2$</p> <p>where $L$ is a complex operator. x,y,z are real.</p>