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Showing 2011 · math.APShow all
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math.AP2011
Evans function and Fredholm determinants
Issa Karambal, Simon J. A Malham
We explore the relationship between the Evans function, transmission coefficient and Fredholm determinant for systems of first order linear differential operators on the real line.…
math.AP2011★ 10 cited
Global bifurcation for asymptotically linear Schrödinger equations
François Genoud
We prove global asymptotic bifurcation for a very general class of asymptotically linear Schrödinger equations \begin{equation}\label{1} \{{array}{lr} \D u + f(x,u)u = \lam u \quad…
math.AP2011
The L^p Dirichlet problem for second-order, non-divergence form operators: solvability and perturbation results
Martin Dindos, Treven Wall
We establish Dahlberg's perturbation theorem for non-divergence form operators L = A\nabla^2. If L_0 and L_1 are two operators on a Lipschitz domain such that the L^p Dirichlet pro…