Project detail

Regularity of solutions to nonlinear systems of partial differential equations and minima of variational integrals

Duration: 01.01.2005 — 31.12.2007

Funding resources

Czech Science Foundation - Standardní projekty

- whole funder (2006-01-01 - not assigned)

On the project

V předkládaném návrhu se řeší problém nalezení takových pomínek na koeficienty nelineárního systému parciálních diferenciálních rovnic, které zaručí BMO-regularitu, resp. holderovskou spojitost gradientu slabeého řešení tohoto systému.

Description in English
The presented project supposes that in final phase we shall find various conditions on the coefficients of nonlinear systems of partial differential equations guaranteeing BMO-regularity and Holder continuity of the gradient of any weak solution to such system.

Keywords
regularita,parciální diferenciální rovnice,variační integrály

Key words in English
regularity,partial differential equations,variational integrals

Mark

GA201/05/2465

Default language

Czech

People responsible

Daněček Josef, prof. RNDr., CSc. - principal person responsible

Units

Institute of Mathematics and Descriptive Geometry
- beneficiary (2006-03-24 - not assigned)

Results

DANĚČEK, J.; JOHN, O.; STARÁ, J. Tle question of interior BMO - regularity for weak solutions of nonlinear second order elliptlic systems. In Seminář aplikované matematiky, Ostravice 13.-15.9.2006 Sborník abstraktů semináře aplikované matematiky SAMO'06. 2006. Ostrava: Katedra aplikované matematiky FEI TU Ostrava, 2006. p. 11-12. ISBN: 80-248-1151-0.
Detail

DANĚČEK, J.; JOHN, O.; STARÁ, J. The interior C(1,$\gamma$) - regularity for a weak solution of nonlinear second order elliptic and parabolic systems. In EQUADIFF 11 - International Conference on Differential Equations, Czecho-Slovak Series. Bratislava, Slovenská republika: Comenius University, Bratislava, Slovakia, 2007. p. 165-169. ISBN: 978-80-227-2624-5.
Detail

DANĚČEK, J.; JOHN, O.; STARÁ, J. Structural conditions guaranteeing C(1,gamma) -regularity of weak solutions to nonlinear second-order elliptic systems. Nonlinear Analysis, Theory, Methods and Applications, 2007, vol. 2007 (66), no. 66, p. 288-300. ISSN: 0362-546X.
Detail

DANĚČEK, J. On regularity for nonlinear elliptic systems of second order. In Sborník 6. matematického workshopu 2007. FAST VUT 2007. Česká republika, Brno: FAST VUT v Brně, 2007. p. 1-8. ISBN: 80-214-2741-8.
Detail

DANĚČEK, J.; JOHN, O.; STARÁ, J. The interior C(1, gamma) - regularity for a weak solution of nonlinear second order parabolic systems. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2006, vol. 2006, no. 31,7, p. 1085-1098. ISSN: 0360-5302.
Detail

DANĚČEK, J.; VISZUS, E. A remark on Morrey type regularity for nonlinear elliptic systems of second order systems. In EQUADIFF 11 - International Conference on Differential Equations, Czecho-Slovak Series. Bratislava, Slovenská republika: Comenius University, Bratislava, Slovakia, 2007. p. 551-557. ISBN: 978-80-227-2624-5.
Detail

Responsibility: Daněček Josef, prof. RNDr., CSc.