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Chapter 6: Dirichlet and Neumann Problems

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Presentation on theme: "Chapter 6: Dirichlet and Neumann Problems"— Presentation transcript:

1 Chapter 6: Dirichlet and Neumann Problems
Sec 6.4: Two Properties of Harmonic Functions C matlab

2 Chapter 6: Dirichlet and Neumann Problems
Sec 6.4: Two Properties of Harmonic Functions

3 Chapter 6: Dirichlet and Neumann Problems
Sec 6.4: Two Properties of Harmonic Functions bounded domain harmonic non-constant on continuous

4 Chapter 6: Dirichlet and Neumann Problems
Sec 6.4: Two Properties of Harmonic Functions

5 Chapter 6: Dirichlet and Neumann Problems
Sec 6.4: Two Properties of Harmonic Functions

6 Proof: Step 2 Step 1 bounded domain harmonic non-constant on
continuous Proof: Step 2 Step 1

7 bounded domain harmonic non-constant on continuous Proof:


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