| Author | Message | ||
     peter (peter_pde) New member Username: peter_pde Post Number: 1 Registered: 04-2007 |
Hi all, I have following bihormonic equation with the conditions, which deals with my research work: u(x,y) is deflection of a clamped plate supporting a precribed load f(x,y) as: del(del u) = f(x,y) in the plane region D satisfying the edge conditions: u=0 at boundary dD du/dn = 0 at boundary dD where n is outward normal to boundary and del is the laplacian in the plane. 1. how to prove that there exists a unique solution of the above problem i.e. uniqueness proof 2. how to establish the identity: double integral((del u)^2) = double integral(u*f) thank you very much for your time and if you cant provide me compelte solution please send me some useful web link or any document at wreke_vian@yahoo.co.in I'll appreciate you for the information and help. cheers' peter |