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Week
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Topics
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Study Metarials
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1
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Cauchy Problem for Quasilinear Equations
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2
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Weak Solutions for Quasilinear Equations
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3
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The Cauchy Problem for Higher Order Equations, Second Order Equations in Two Variables
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4
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Linear Equations and Generalized Solutions
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5
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Eigenvalues and Eigenfunction Expansions
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6
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Fourier Transforms
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7
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The Wave Equation
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8
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Spherical Means, The Cauchy Problem
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9
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The Three-Dimensional Wave Equation
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10
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The Two-Dimensional Wave Equation
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11
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Huygens` Principle, Energy Methods
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12
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The Laplace Equation
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13
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The Heat Equation in a Bounded Domain
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14
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Existence by Eigenfunction Expansion, The Maximum Principle and Uniqueness, Solution of the Initial Value Problem
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