Mathematics: Partial Differential Equations

Utbildningsfakta

Kod: MATP36

<p>The course is an alternatively compulsory course within the Master's programme in mathematics. The course gives a thorough introduction to partial differential equations, which is an important tool in science and technology.</p><p>The course treats:</p> <ul> <li>The method of characteristics and nonlinear equations of the first order.</li> <li>Laplace’s equation. The heat equation. The wave equation.</li> <li>The Cauchy-Kowalevski theorem.</li> <li>Sobolev spaces.</li> <li>Existence, uniqueness and regularity for weak solutions to linear second order elliptic, parabolic and hyperbolic equations.</li> <li>Maximum principles for elliptic and parabolic equations.</li> </ul>

Behörighet

For admission to the course, English 6/B is required as well as at least 90 higher education credits in mathematics, including knowledge equivalent to the courses MATB34 Linear Analysis, 7.5 credits, MATC22 Ordinary Differential Equations 1, 7.5 credits and MATC21 Complex Analysis 1, 7.5 credits. The courses MATM39 Integration Theory, 7.5 credits and MATP35 Linear Functional Analysis, 7.5 credits are recommended but not compulsory.

Utbildningstillfällen

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• Mathematics: Partial Differential Equations

  Lund University

  Lund

  Startdatum: 29 mars 2027

  Slutdatum: 6 juni 2027

  Studietakt: 50 %