On a penalization method for an evolutionary free boundary problem with volume constraint

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F14%3A00448814" target="_blank" >RIV/67985840:_____/14:00448814 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
On a penalization method for an evolutionary free boundary problem with volume constraint
Original language description
We consider the problem of successively minimizing the functional ... over all nonnegative functions ... whose set of positive values have Lebesgue measure equal to ... for a given nonnegative Lipschitz continuous function ... We use an approximation method that penalizes only the increase in measure of the set ... We prove the existence and regularity of the minimizer and investigate its behavior for sufficiently large penalty parameter. Without relying on the smoothness of the free boundary, we show that the measure of the set ... adjusts to its prescribed value provided is large enough; hence, the solution to the original problem is attained without having to take to infinity. To end, we show the existence of a minimizing movement and some of its properties.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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