Second Order Linear Partial Differential Equations Part I
In general, elliptic equations describe processes in equilibrium. While the hyperbolic and parabolic equations model processes which evolve over time. Example: Consider the one-dimensional damped wave equation 9u xx = u tt + 6u t. It can be rewritten as: 9u xx − u tt − 6u t = 0. It has coefficients a = 9, b = 0, and c = −1. Its ... ................
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