Pregled bibliografske jedinice broj: 964467
A priori estimates for finite-energy sequences of Muller's functional with non-coercive two- well potential with symmetrically placed wells
A priori estimates for finite-energy sequences of Muller's functional with non-coercive two- well potential with symmetrically placed wells // Mathematical communications, 24 (2019), 1; 39-59 (međunarodna recenzija, članak, znanstveni)
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Naslov
A priori estimates for finite-energy sequences of Muller's functional with non-coercive two- well potential with symmetrically placed wells
Autori
Raguž, Andrija
Izvornik
Mathematical communications (1331-0623) 24
(2019), 1;
39-59
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
asymptotic analysis, singular perturbation, Young measures, Modica-Mortola functional, Gamma convergence
Sažetak
In this paper we obtain a priori estimates for finite-energy sequences of M¨uller’s functional I" a(v) = Z 1 0 "2v′′2(s) +W(v′(s)) + a(s)v2(s)ds, where v 2 H2(0, 1) and W is non-coercive two- well potential with symmetrically placed zero-points. We also prove -convergence of corresponding relaxed functionals according to the approach of G. Alberti and S. M¨uller as " −! 0 for W, which satisfies R 0 −∞ pW = R +∞ 0 pW = +1.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Zagrebačka škola ekonomije i managementa, Zagreb
Profili:
Andrija Raguž
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
