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The obstacle proble...
The obstacle problem with singular coefficients near Dirichlet data
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- Shahgholian, Henrik (författare)
- KTH,Matematik (Inst.)
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- Yeressian, Karen (författare)
- KTH,Matematik (Inst.)
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KTH Matematik (Inst) (creator_code:org_t)
- Elsevier, 2017
- 2017
- Engelska.
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Ingår i: Annales de l'Institut Henri Poincare. Analyse non linéar. - : Elsevier. - 0294-1449 .- 1873-1430. ; 34:2, s. 293-334
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https://ems.press/co...
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Ämnesord
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- In this paper we study the behaviour of the free boundary close to its contact points with the fixed boundary B boolean AND {x1 = 0} in the obstacle type problem {div(x(1)(a) del u) = X-{u>0} in B+, u=0 on B boolean AND {x(1) = 0} where a < 1, B+ = B boolean AND {x(1) > 0}, B is the unit ball in R-n and n > 2 is an integer. Let Gamma = B+ boolean AND partial derivative{u > 0} be the free boundary and assume that the origin is a contact point, i.e. 0 epsilon (Gamma) over bar. We prove that the free boundary touches the fixed boundary uniformly tangentially at the origin, near to the origin it is the graph of a C-1 function and there is a uniform modulus of continuity for the derivatives of this function.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Nyckelord
- Free boundary
- Obstacle problem
- Singular coefficient
- Regularity of free boundaries
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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