Partial differential equations and their applications 1000-1D09RC

We will cover methods used to study partial differential equations. They include:
-- variational methods applicable to elliptic equations,
-- monotonicity methods applicable to parabolic equations,
-- Galerkin method applied to Navier - Stokes equation,
-- the method of characteristics applied to hyperbolic equation,
-- the semigroup method applied to infinite dimensional dynamical systems.

Type of course

Master's seminars

Prerequisites (description)

Functional analysis I 1000-135AF1, Analytic functions 1000-134FAN, Probability II 1000-135RP2, Qualitative theory of ordinary differential equations 1000-135RRJ or Partial differential equations I 1000-135RC1a

Course coordinators

Piotr Gwiazda
Agnieszka Świerczewska-Gwiazda

Bibliography

A large part of these topics can be fond in the book by L.C.Evans, The Partal Differential Equations

Additional information

Information on level of this course, year of study and semester when the course unit is delivered, types and amount of class hours - can be found in course structure diagrams of apropriate study programmes. This course is related to the following study programmes:

Master's degree, second cycle programme, Mathematics

Additional information (registration calendar, class conductors, localization and schedules of classes), might be available in the USOSweb system:

Description of 1000-1D09RC in USOSweb