Partial Differential Equations · Calculus
Classification and Well-Posedness
Elliptic equations model steady states; parabolic, diffusion; hyperbolic, waves. Classification determines what data is needed for a well-posed problem.
WHAT STUDENTS WILL LEARN
✓Classify second-order PDEs as elliptic, parabolic, or hyperbolic
✓State canonical forms and physical interpretations
✓Understand boundary and initial conditions
✓Apply superposition to linear PDEs
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