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Partial Differential Equations: An Introduction

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Partial Differential Equations: An Introduction

Organizer:

Dr. Oliver Tse48-570 tse[at]mathematik.uni-kl.de

 

Lecture:

Dienstag:          08:15 - 09:45       48-210         Starts on 16.12.2013

Donnerstag:      08:15 - 09:45       46-110         Starts on 11.12.2013

 

Exercise:

Dienstag:          13:45 - 15:15       36-265         Starts on 16.12.2013

Dienstag:          15:30 - 17:00       44-380         Starts on 16.12.2013

 

Contents:

Partial Differential Equations play an important role in natural sciences and engineering. Stationary processes can be modelled by differential equations that involve more than one spatial variable, e.g. equations for membrans or electrostatic and gravitational potentials. The equations can also include time derivatives to describe transient processes like growth processes, wave propagation, heat transfer or fluid flow. In this introductory lecture the three most important types of second order PDEs are presented: elliptic, parabolic and hyperbolic equations. Explicit solution techniques and the qualitative baviour of solutions is discussed. Special knowledge of results from functional analysis is not required.

 

Literature:

L.C. Evans: Partial differential equations. AMS 1998; 

F. John: Partial differential equations. Springer-Verlag 1986.