Generalisation of compactness by compensation (CROSBI ID 625925)
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Podaci o odgovornosti
Mišur, Marin ; Mitrović, Darko
engleski
Generalisation of compactness by compensation
We investigate conditions under which, for two sequences (ur)(ur) and (vr)(vr) weakly converging to u and v in Lp(Rd ; RN)Lp(Rd ; RN) and Lq(Rd ; RN)Lq(Rd ; RN), respectively, 1/p+1/q≤11/p+1/q≤1, a quadratic form View the MathML sourceq(x ; ur, vr)=∑j, m=1Nqjm(x)ujrvmr converges toward q(x ; u, v)q(x ; u, v) in the sense of distributions. The conditions involve fractional derivatives and variable coefficients, and they represent a generalization of the known compensated compactness theory. The proofs are accomplished using a recently introduced H-distribution concept. We apply the developed techniques to a nonlinear (degenerate) parabolic equation.
compensated compactness
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Podaci o skupu
RICAM workshop Shape and topological optimization
poster
13.10.2014-17.10.2014
Linz, Austrija