Daniel Spirn

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20112026

most citedExploring Rigidly Rotating Vortex Configurations and their Bifurcations in Atomic Bose-Einstein Condensates

35 citations · 115 across the 18 of their papers we have counts for

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Showing 2014 · math.APShow all

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math.AP2014

Petviashvilli's Method for the Dirichlet Problem

Derek Olson, Soumitra Shukla, Gideon Simpson +1

We examine the Petviashvilli method for solving the equation $ϕ - Δ ϕ = ∣ ϕ ∣^{p - 1} ϕ$ on a bounded domain $Ω \subset R^{d}$ with Dirichlet boundary conditions. We prove a local…

math.AP2014★ 8 cited

Recovering a Potential from Cauchy Data via Complex Geometrical Optics Solutions

Hoai-Minh Nguyen, Daniel Spirn

This paper is devoted to the problem of recovering a potential $q$ in a domain in $R^{d}$ for $d \geq 3$ from the Dirichlet to Neumann map. This problem is related to the in…