discipline

Pure Math

subject

Nonlinear partial differential equations

lecturers

László Simon

credits

2

period

3.and 4. semester, 2 hours/week

curriculum

3. semester:

Definition of weak (variational) solutions to boundary value problems for quasilinear elliptic partial differential equations of divergence form. Existence and uniqueness theorems for abstract equations, based on the theory of monotone operators and pseudomonotone operators. Applications. Elliptic variational inequalities.

 

4. semester:

Definition of weak solutions to initial-boundary value problems for evolution equations. Existence, uniqueness and qualitative properties of solutions, by means of monotone and pseudomonotone operators. Application to nonlinear parabolic differential equations and functional differential equations. Nonlinear hyperbolic equations.

 

 

literature

E. Zeidler, Nonlinear functional equations and its applications II, III. Springer, 1990.

 

form of tuition

lectures

mode of assessment

oral exam