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- Title
On the weak convergence of fluxes to a flux.
- Authors
Zhikov, V. V.
- Abstract
The article presents a technique for passage to the boundary in nonlinear terms as pulled from the context of special problems and showed in the general form. The technique comprises of three components such as the considerations from measure theory, the principle of compensated tightness and the lower semicontinuity of monotone operators. It says that the vector functions are presumed to meet the minimal monotonicity and convergence conditions. It says that the Euler equation infers that the determining function u0 minimizer.
- Subjects
MONOTONE operators; OPERATOR theory; MEASURE theory; VECTOR valued functions; GENERALIZED integrals; EULER characteristic; NONLINEAR statistical models; REAL variables; ACCELERATION of convergence in numerical analysis
- Publication
Doklady Mathematics, 2010, Vol 81, Issue 1, p58
- ISSN
1064-5624
- Publication type
Article
- DOI
10.1134/S1064562410010175