Applications of decomposable measures on nonlinear difference equations.

Pap, Endre

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Pseudo-Differential Operators in a Wave Diffraction Problem with Impedance Conditions

Castro, L.P., Kapanadze, D. (2008)

Fractional Calculus and Applied Analysis

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Mathematics Subject Classification: 35J05, 35J25, 35C15, 47H50, 47G30 We consider an impedance boundary-value problem for the Helmholtz equation which models a wave diffraction problem with imperfect conductivity on a strip. Pseudo-differential operators are used to deal with this wave diffraction problem. Therefore, single and double layer potentials allow a reformulation of the problem into a system of integral equations. By using operator theoretical methods, the well-posedness...

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Thom polynomials and Schur functions: the singularities $I_{2, 2} (-)$

Piotr Pragacz (2007)

Annales de l’institut Fourier

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We give the Thom polynomials for the singularities $I_{2, 2}$ associated with maps $(ℂ^{•}, 0) \to (ℂ^{• + k}, 0)$ with parameter $k \geq 0$ . Our computations combine the characterization of Thom polynomials via the “method of restriction equations” of Rimanyi et al. with the techniques of Schur functions.