6. Laplace's Equation Flashcards

1
Q

Definition 6.1
Classification of linear second order PDEs

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2
Q

Definition
Laplacian
Harmonic function

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3
Q

Wedge solution

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4
Q

Theorem 6.2
Fundamental solution to Laplace

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5
Q

Green’s Functions

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6
Q

Derivation of Green’s identity

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7
Q

Theorem 6.3
Maximum principle for harmonic functions
Strong max. principle.

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8
Q

Dirichlet energy

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9
Q

Functional I(w) = …

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10
Q

Theorem 6.4
Dirichlet’s principle.

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11
Q

Obstacle problems.

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