A Schrödinger singular perturbation problem

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dc.creatorRamm, A. G.
dc.date2005-11-14
dc.date.accessioned2026-07-07T06:50:30Z
dc.date.available2026-07-07T06:50:30Z
dc.descriptionConsider the equation $-\ve^2Δu_\ve+q(x)u_\ve=f(u_\ve)$ in $\R^3$, $|u(\infty)|<\infty$, $\ve=const>0$. Under what assumptions on $q(x)$ and $f(u)$ can one prove that the solution $u_\ve$ exists and $\lim_{\ve\to 0} u_\ve=u(x)$, where $u(x)$ solves the limiting problem $q(x)u=f(u)$? These are the questions discussed in the paper.
dc.identifierhttps://arxiv.org/abs/math-ph/0511049
dc.identifierhttp://arxiv.org/abs/math-ph/0511049
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/104687
dc.subjectMathematical Physics
dc.subject35J60, 35B25
dc.titleA Schrödinger singular perturbation problem
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