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Zbl 1150.46014
Savaré, Giuseppe; Rossi, Riccarda
Tightness, integral equicontinuity and compactness for evolution problems in Banach spaces.
(English)
[J] Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 2, No. 2, 395-431 (2003). ISSN 0391-173X; ISSN 2036-2145/e

In the paper the authors prove a relative compactness criterion in the space $L^{p}\left( 0,T;B\right)$ and a relative compactness criterion with respect to convergence in measure for $B$--valued measurable functions, where $B$ is a separable Banach space and $1\leq p<\infty $. The proofs use the Young measure theory. The details are too technical to be stated here.
[Dumitrŭ Popa (Constanţa)]
MSC 2000:
*46E40 Spaces of vector-valued functions
28A20 Measurable and nonmeasurable functions
46N20 Appl. of functional analysis to differential and integral equations
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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