Bibliography

Monography Chapter

Weak Lower Semicontinuity by Means of Anisotropic Parametrized Measures

Kalamajska A., Krömer Stefan, Kružík Martin

: Trends in Applications of Mathematics to Mechanics, p. 23-51 , Eds: Rocca E., Stefanelli U., Truskinovsky L., Visintin A.

: Symposium on Trends on Applications of Mathematics to Mechanics, (Řím, IT, 20160905)

: GF16-34894L, GA ČR, GA17-04301S, GA ČR

: lower semicontinuity, parametrized measures

: 10.1007/978-3-319-75940-1_2

: http://library.utia.cas.cz/separaty/2018/MTR/kruzik-0490162.pdf

(eng): It is well known that besides oscillations, sequences bounded only in L1 can also develop concentrations, and if the latter occurs, we can at most hope for weak∗ convergence in the sense of measures. Here we derive a new tool to handle mutual interferences of an oscillating and concentrating sequence with another weakly converging sequence. We introduce a couple of explicit examples showing a variety of possible kinds of behavior and outline some applications in Sobolev spaces.

: BA

: 10102