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A锛嶧our Important Linear PDEs
(1) Transport equation (2) Laplace equation
(3) Heat equation (4) Wave equation
B. Nonlinear First-Order PDE
(1) Complete integrals, envelops (2) Characteristics
(3) Hamilton-Jacobi equation (4) Conservation laws
C. Other Ways to Represent Solutions
(1) Separation of Variables (2) Similarity Solutions
(3) Transform methods (4) Converting nonlinear into linear PDE
(5) Asymptotics (6) Power Series
D. Sobolev Spaces
(1) Holder spaces (2) Sobolev spaces (3) Approximation
(4) Extension (5) Traces (6) Sobolev inequalities
(7) Compactness (8) Additional topics (9) Other spaces of functions
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