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Lower bounds for Schrödinger operators in H¹(ℝ)

Ronan Pouliquen — 1999

Studia Mathematica

We prove trace inequalities of type | | u ' | | L 2 2 + j k j | u ( a j ) | 2 λ | | u | | L 2 2 where u H 1 ( ) , under suitable hypotheses on the sequences a j j and k j j , with the first sequence increasing and the second bounded.

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