Postgraduate Studies

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AN9 - Partial Differential Equations

The Wave Equation. The Diffusion Equation. The Laplace Equation. Weak Solutions, Shock Waves and Conservation Laws. Burgers' Equation. Harmonic Functions. Maximum-minimum Principle. Green's Identities and Functions. Harnack's Inequalities and Theorems. The Diffusion and Wave Equations in Higher Dimensions. Fourier Method. Kirchoff's Formula. Huygens' Principle.


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