منابع مشابه
Multiple scattering and modified Green’s functions
Exterior boundary-value problems for the Helmholtz equation can be reduced to boundary integral equations. It is known that the simplest of these fail to be uniquely solvable at certain ‘irregular frequencies.’ For a single smooth scatterer, it is also known that irregular frequencies can be eliminated by using a modified fundamental solution, one that has additional singularities inside the sc...
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We consider the initial-value problem of abstract wave equations with weak dissipation. We show that under conditions on the dissipation coefficient and its derivative the solutions to the abstract dissipative equation are closely related to solutions of the free problem multiplied by a decay function. This paper gives the counterpart to a recent paper of T.Yamazaki [Adv. Differential Equ., 11(...
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Dynamic light scattering is a well established technique currently used to determine the average hydrodynamic diameter of nanometer to micrometer particles in suspension. A simple, modified experimental setup and the software to process experimental data are presented in this paper. Results on monitoring the time variation of the average diameter of the particles in suspension are presented and...
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We consider the Cauchy problem for the weakly dissipative wave equation u+ μ 1 + t ut = 0 with parameter μ ≥ 2. Based on the explicit representations of solutions provided in [Math. Meth. Appl. Sci. 2004; 27:101-124] sharp decay estimates for data from a dense subspace of the energy space are derived. Furthermore, sharpness is discussed in terms of a modified scattering theory. AMS subject clas...
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ژورنال
عنوان ژورنال: Nature
سال: 1928
ISSN: 0028-0836,1476-4687
DOI: 10.1038/122398a0