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math.AP2014★ 21 cited
On Some Quantitative Unique Continuation Properties of Fractional Schrödinger Equations: Doubling, Vanishing Order and Nodal Domain Estimates
Angkana Rüland
In this article we determine bounds on the maximal order of vanishing for eigenfunctions of a generalized Dirichlet-to-Neumann map (which is associated with fractional Schrödinger…
math-ph2014
Surface Energies Arising in Microscopic Modeling of Martensitic Transformations
Georgy Kitavtsev, Stephan Luckhaus, Angkana Rüland
In this paper we construct and analyze a two-well Hamiltonian on a 2D atomic lattice. The two wells of the Hamiltonian are prescribed by two rank-one connected martensitic twins, r…