Semilinear parabolic partial differential equations - theory, approximation, and application
Kapitel i bok, 2006

We present an abstract framework for semilinear parabolic problems based on analytic semigroup theory. The same framework is used for numerical discretization based on the finite element method. We prove local existence of solutions and local error estimates. These are applied in the context of dynamical systems. The framework is also used to analyze the finite element method for a stochastic parabolic equation.


Stig Larsson

Chalmers, Matematiska vetenskaper, Matematik

Göteborgs universitet

New Trends in the Mathematical and Computer Sciences (G. O. S. Ekhaguere, C. K. Ayo, and M. B. Olorunsaiye, eds.), Proceedings of an international workshop at Covenant University, Ota, Nigeria, June 18-23, 2006, Publications of the ICMCS, vol. 3, 2006