Hyperbolic partial differential equations from the point of view of shearlet transforms
الموضوعات :R. Raisi Tousi 1 , M. Aminkhah 2
1 - Department of Pure Mathematics, Ferdowsi University of Mashhad, P. O. Box 1159-91775, Mashhad, Iran
2 - Department of Pure Mathematics, Ferdowsi University of Mashhad, P. O. Box 1159-91775, Mashhad, Iran
الکلمات المفتاحية: Continuous shearlet system, hyperbolic partial differential equation, complex coefficients,
ملخص المقالة :
It is shown that a nonlinear partial differential equation with complex coefficients can be obtained through continuous shearlet transforms. We introduce a shearlet for constructing a nonlinear partial differential equation with complex coefficients and show that the initial value obtained from the continuous shearlet transform coincides with solutions of this equation.
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