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Titlebook: Applied Mathematical Analysis and Computations I; 1st SGMC, Statesboro Divine Wanduku,Shijun Zheng,Ephraim Agyingi Conference proceedings 2

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Applying the Maximum Entropy Technique to the Gaussian Dispersion Plume Model,ena such as the one-dimensional advection equation, the one-dimensional diffusion equation, the one-dimensional advection-diffusion equation, and finally to the multi-dimensional advection-diffusion equation. Further applications are discussed.
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Characterization of Carleson Measures via Spectral Estimates on Compact Manifolds with Boundary,alue inequality on these spaces ., we show a characterization of the .-Carleson measures associated to Neumann Laplacian with the . condition on the boundary, and give a counterexample to invalid the characterization of the .-Carleson measures associated to Dirichlet Laplacian.
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Appendix: Religion and social movements,e obtain the local existence of classical solution of the moving boundary problem when the initial data is close to a circle. The methodology is to use complex analysis and reduce the free boundary problem to a Riemann-Hilbert problem and an abstract Cauchy-Kovalevskaya evolution problem, then apply Nash-Moser iteration.
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