« first day (3823 days earlier)      last day (128 days later) » 

2:21 PM
0
Q: Bound on $L^1$ norm of solution of two-point boundary value problem

gmvhThis has to be known, but I have not been able to find it in the literature (probably due to not being too familiar with two-point boundary value problems). I have a function $u:[0,1]\to\mathbb{R}$ satisfying a two-point boundary value problem $$ (p(x)u'(x))'+q(x)u(x) = f(x),~u(0)=u(1)=0 $$ with ...

In the study of differential equations, a boundary-value problem is a differential equation subjected to constraints called boundary conditions. A solution to a boundary value problem is a solution to the differential equation which also satisfies the boundary conditions. Boundary value problems arise in several branches of physics as any physical differential equation will have them. Problems involving the wave equation, such as the determination of normal modes, are often stated as boundary value problems. A large class of important boundary value problems are the Sturm–Liouville problems. The...
 

« first day (3823 days earlier)      last day (128 days later) »