Elliptic Differential Equations

1. Partial Differential Equations and Their Classification Into Types
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2. The Potential Equation
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3. The Poisson Equation
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4. Difference Methods for the Poisson Equation
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5. General Boundary-Value Problems
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6. Tools from Functional Analysis
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7. Variational Formulation
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8. The Finite-Element Method
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9. Regularity
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10. Special Differential Equations
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11. Elliptic Eigenvalue Problems
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12. Stokes Equations
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Avainsanat: Mathematics, Analysis, Numerical Analysis, Systems Theory, Control, Calculus of Variations and Optimal Control; Optimization, Theoretical, Mathematical and Computational Physics