Reliable solution of parabolic obstacle problems with respect to uncertain data.

Autor: Lovíšek, Ján
Jazyk: angličtina
Předmět:
Druh dokumentu: Non-fiction
ISSN: 0862-7940
Abstrakt: Abstract: A class of parabolic initial-boundary value problems is considered, where admissible coefficients are given in certain intervals. We are looking for maximal values of the solution with respect to the set of admissible coefficients. We give the abstract general scheme, proposing how to solve such problems with uncertain data. We formulate a general maximization problem and prove its solvability, provided all fundamental assumptions are fulfilled. We apply the theory to certain Fourier obstacle type maximization problem.
Databáze: Katalog Knihovny AV ČR