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telling DSolve to satisfy boundary conditions?
Is it always possible to solve a second order pde on a compact set for any set of boundary conditions? For instance, I am interested in the following pde: v=v[c,f] v,cc + ( R f + c - Q ) v,f - n c v,c - R v = 0 on the region 0 < c 0 < f0 < f with the boundary condition v[c,f0] = 1 (for all c). DSolve finds a couple of nice general solutions for v[c,f] but none of them satisfies v[c,f0] = constant. Any suggestions? kenton at stanford.edu