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

Kód výsledku v 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>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

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Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2014

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Advances in Mathematical Sciences and Applications

ISSN

1343-4373

e-ISSN

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Svazek periodika

24

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

JP - Japonsko

Počet stran výsledku

17

Strana od-do

85-101

Kód UT WoS článku

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EID výsledku v databázi Scopus

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