科研之友
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摘要
In this note, we investigate the nonelliptic differential expression
A = -div sgn del
on a rectangular domain Omega in the plane. The seemingly simple problem of associating a self-adjoint operator with the differential expression A in L (2)(Omega) is solved here. Such indefinite Laplacians arise in mathematical models of metamaterials characterized by negative electric permittivity and/or negative magnetic permeability.
- 出版日期2018-2
