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Regularity of solut...
Regularity of solutions to fully nonlinear elliptic and parabolic free boundary problems
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Indrei, E. (författare)
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- Minne, Andreas (författare)
- KTH,Matematik (Avd.),Carnegie Mellon University, USA
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KTH Matematik (Avd) (creator_code:org_t)
- Elsevier, 2016
- 2016
- Engelska.
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Ingår i: Annales de l'Institut Henri Poincare. Analyse non linéar. - : Elsevier. - 0294-1449 .- 1873-1430. ; 33:5, s. 1259-1277
- Relaterad länk:
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https://doi.org/10.1...
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visa fler...
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- We consider fully nonlinear obstacle-type problems of the form. F(D2u,x)=f(x)a.e. in B1∩Ω,|D2u|≤Ka.e. in B1\Ω, where Ω is an open set and K>0. In particular, structural conditions on F are presented which ensure that W2,n(B1) solutions achieve the optimal C1,1(B1/2) regularity when f is Hölder continuous. Moreover, if f is positive on B-1, Lipschitz continuous, and u≠0⊂Ω, we obtain interior C1 regularity of the free boundary under a uniform thickness assumption on u=0. Lastly, we extend these results to the parabolic setting.
Ämnesord
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Nyckelord
- Nonlinear elliptic equations
- Nonlinear parabolic equations
- Free boundaries
- Regularity theory
- Obstacle problems
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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