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math.AP2012★ 4 cited
Willmore-Helfrich L^{2}-flow of curves with natural boundary conditions
Anna Dall'Acqua, Paola Pozzi
We consider regular open curves in R^n with fixed boundary points and moving according to the L^{2}-gradient flow for a generalisation of the Helfrich functional. Natural boundary…
math.AP2012
Real analyticity of solutions to Schrödinger equations involving fractional Laplacians
Anna Dall'Acqua, Søren Fournais, Thomas Østergaard Sørensen +1
We prove analyticity of solutions in , , to certain nonlocal linear Schrödinger equations with analytic potentials.