Relaxation of functionals with linear growth: Interactions of emerging measures and free discontinuities

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F23%3A00575874" target="_blank" >RIV/67985556:_____/23:00575874 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21110/23:00366042
Result on the web
<a href="https://www.degruyter.com/document/doi/10.1515/acv-2021-0063/html" target="_blank" >https://www.degruyter.com/document/doi/10.1515/acv-2021-0063/html</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1515/acv-2021-0063" target="_blank" >10.1515/acv-2021-0063</a>

Result language
angličtina
Original language name
Relaxation of functionals with linear growth: Interactions of emerging measures and free discontinuities
Original language description
For an integral functional defined on functions (u, v) ∈ W1,1 × L1 featuring a prototypical strong interaction term between u and v, we calculate its relaxation in the space of functions with bounded variations and Radon measures. Interplay between measures and discontinuities bring various additional difficulties, and concentration effects in recovery sequences play a major role for the relaxed functional even if the limit measures are absolutely continuous with respect to the Lebesgue one.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GF19-29646L" target="_blank" >GF19-29646L: Large Strain Challenges in Materials Science</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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