# Evolutionary problems in non-reflexive spaces

Martin Kružík; Johannes Zimmer

ESAIM: Control, Optimisation and Calculus of Variations (2010)

- Volume: 16, Issue: 1, page 1-22
- ISSN: 1292-8119

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topKružík, Martin, and Zimmer, Johannes. "Evolutionary problems in non-reflexive spaces." ESAIM: Control, Optimisation and Calculus of Variations 16.1 (2010): 1-22. <http://eudml.org/doc/250727>.

@article{Kružík2010,

abstract = {
Rate-independent problems are considered, where the stored energy
density is a function of the gradient. The stored energy density may
not be quasiconvex and is assumed to grow linearly. Moreover,
arbitrary behaviour at infinity is allowed. In particular, the
stored energy density is not required to coincide at infinity with a
positively 1-homogeneous function. The existence of a
rate-independent process is shown in the so-called energetic
formulation.
},

author = {Kružík, Martin, Zimmer, Johannes},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {Concentrations; energetic solution; energies with linear
growth; oscillations; relaxation; concentrations; energies with linear growth},

language = {eng},

month = {1},

number = {1},

pages = {1-22},

publisher = {EDP Sciences},

title = {Evolutionary problems in non-reflexive spaces},

url = {http://eudml.org/doc/250727},

volume = {16},

year = {2010},

}

TY - JOUR

AU - Kružík, Martin

AU - Zimmer, Johannes

TI - Evolutionary problems in non-reflexive spaces

JO - ESAIM: Control, Optimisation and Calculus of Variations

DA - 2010/1//

PB - EDP Sciences

VL - 16

IS - 1

SP - 1

EP - 22

AB -
Rate-independent problems are considered, where the stored energy
density is a function of the gradient. The stored energy density may
not be quasiconvex and is assumed to grow linearly. Moreover,
arbitrary behaviour at infinity is allowed. In particular, the
stored energy density is not required to coincide at infinity with a
positively 1-homogeneous function. The existence of a
rate-independent process is shown in the so-called energetic
formulation.

LA - eng

KW - Concentrations; energetic solution; energies with linear
growth; oscillations; relaxation; concentrations; energies with linear growth

UR - http://eudml.org/doc/250727

ER -

## References

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