Partial Differential Equations

10 credits

Course, Master's level, 1MA216

Autumn 2023 Autumn 2023, Uppsala, 33%, On-campus, English Only available as part of a programme

Autumn 2023 Autumn 2023, Uppsala, 33%, On-campus, English For exchange students

Autumn 2024 Autumn 2024, Uppsala, 33%, On-campus, English Only available as part of a programme

Autumn 2024 Autumn 2024, Uppsala, 33%, On-campus, English For exchange students

About the course

The method of characteristics and first-order partial differential equations. Distributions and Sobolev spaces, extensions and trace theorems. Sobolev inequalities and compactness theorems. Laplace equation. Heat equation. Wave equation. Applications of Sobolev spaces to PDEs. Existence and uniqueness of weak solutions to elliptic equations.

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