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Sayfa 1
On the basis of this representation , the behavior of the free boundary near
contact points is described . 80 . INTRODUCTION Our objective in this paper is to
find an exact representation of all possible solutions of the parabolic obstacle ...
On the basis of this representation , the behavior of the free boundary near
contact points is described . 80 . INTRODUCTION Our objective in this paper is to
find an exact representation of all possible solutions of the parabolic obstacle ...
Sayfa 2
The regularity of the free boundary for this problem was investigated earlier only
in the special case of the Stefan problem ... { x1 > 0 } and assume that a solution
u is defined for all t E ] - 00 , tool and satisfies the boundary condition ul21 = 0 = 0
.
The regularity of the free boundary for this problem was investigated earlier only
in the special case of the Stefan problem ... { x1 > 0 } and assume that a solution
u is defined for all t E ] - 00 , tool and satisfies the boundary condition ul21 = 0 = 0
.
Sayfa 16
Then , for a subsequence , the sequences ū ; and ( 7 , tj ) converge to up and ( xo
, to ) , respectively , and we have 7PZ VIACE > 0 . Thus , we see that the points (
ro , to ) and ( 0 , 0 ) lie on the free boundary r ( uo ) . Since Uo is a global solution
...
Then , for a subsequence , the sequences ū ; and ( 7 , tj ) converge to up and ( xo
, to ) , respectively , and we have 7PZ VIACE > 0 . Thus , we see that the points (
ro , to ) and ( 0 , 0 ) lie on the free boundary r ( uo ) . Since Uo is a global solution
...
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algebraic analytic apply assume basis boundary bounded called chain homotopy closed coefficients complex computation condition connection Consequently consider constant construction contains continuous convex corresponding defined definition deformation denote determined differential domain element equal equation equivalence estimate example exists extension fact field finite fixed formula function given identity implies inequality integral intersection introduce invariant inverse isomorphism Lemma linear Math Mathematical matrix measure metric Moreover natural normal Observe obtain Obviously operator orientation particular periodic positive present problem projective Proof properties Proposition prove regular relation Remark respectively result ring satisfies scheme sequence singular smooth solutions space standard statement Subsection suffices Suppose takes Theorem theory transformation true twists unique vector weight zero