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Strongly Elliptic Operators for a Plane Wave Diffraction Problem in Bessel Potential Spaces
Diffraction problem Strong Ellipticity Convolution type operator Wiener-Hopf operator Equivalence after extension
2008/6/26
We consider a plane wave diffraction problem by a union of several infinite strips. The problem is formulated as a boundary-transmission one for the Helmholtz equation in a Bessel potential space sett...
On the Upper Bound of Second Eigenvalues for Uniformly Elliptic Operators of any Orders
uniformly elliptic operators of any orders
2007/12/10
r + 1. We consider the eigenvalue problems (1.1) and (1.2), and obtain Theorem 1 and Theorem 2, which generalize the results in [1,2,5].