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arxiv: 1504.07128 · v2 · pith:6EDN5CW2new · submitted 2015-04-27 · 🧮 math-ph · math.AP· math.MP

Decay of eigenfunctions of elliptic PDEs, II

classification 🧮 math-ph math.APmath.MP
keywords decayrateseigenfunctionsellipticalgebraicallydetermineddirectionexponential
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We study exponential decay rates of eigenfunctions of self-adjoint higher order elliptic operators on R^n. We are interested in decay rates as a function of direction. We show that the possible decay rates are to a large extent determined algebraically.

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