第七章 Parabolic Equations, 7-1 The Heat Equation
| Week | Course Content | Course Video |
|---|---|---|
| 第五章 Hyperbolic Equations in Higher Dimensions 5-1 The Wave Equation in n-Dimensional Space | Watch Online | |
| 第五章 Hyperbolic Equations in Higher Dimensions 5-2 Higher-Order Hyperbolic Equations with Constant Coefficients | Watch Online | |
| 第五章 Hyperbolic Equations in Higher Dimensions 5-3 Symmetric Hyperbolic System | Watch Online | |
| 第六章 Higher-Order Elliptic Equations with Constant Coefficients 6-1 The Fundamental Solution for Odd n | Watch Online | |
| 第六章 Higher-Order Elliptic Equations with Constant Coefficients 6-2 The Dirichlet Problem | Watch Online | |
| 第六章 Higher-Order Elliptic Equations with Constant Coefficients 6-3 Sobolev Space | Watch Online | |
| 第七章 Parabolic Equations 7-1 The Heat Equation | Watch Online | |
| 第七章 Parabolic Equations 7-2 The Initial-Value Problem for General Second-Order Parabolic Equations | Watch Online | |
| 第八章 H. Lewys Example of a Linear Equation without Solutions 8-1 Brief introduction of Functional Analysis | Watch Online | |
| 第八章 H. Lewys Example of a Linear Equation without Solutions 8-2 Semigroups of linear operator | Watch Online | |
| 第八章 H. Lewys Example of a Linear Equation without Solutions 8-3 Perturbations and Approximations | Watch Online | |
| 第八章 H. Lewys Example of a Linear Equation without Solutions 8-4 The abstract Cauchy Problem | Watch Online | |
| 第八章 H. Lewys Example of a Linear Equation without Solutions 8-5 Application to linear partial differential equations | Watch Online | |
| 第八章 H. Lewys Example of a Linear Equation without Solutions 8-6 Applications to nonlinear partial differential equations | Watch Online | |
| 第八章 H. Lewys Example of a Linear Equation without Solutions 8-6 Applications to nonlinear partial differential equations | Watch Online |
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