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Boundary Value Problems in Lipschitz...

Sakellaris, Georgios.

Boundary Value Problems in Lipschitz Domains for Equations with Drifts.

Record Type:	Language materials, manuscript : Monograph/item
Title/Author:	Boundary Value Problems in Lipschitz Domains for Equations with Drifts./
Author:	Sakellaris, Georgios.
Description:	1 online resource (230 pages)
Notes:	Source: Dissertation Abstracts International, Volume: 78-12(E), Section: B.
Contained By:	Dissertation Abstracts International78-12B(E).
Subject:	Mathematics. -
Online resource:	click for full text (PQDT)
ISBN:	9780355077919

Boundary Value Problems in Lipschitz Domains for Equations with Drifts.
Sakellaris, Georgios.

Boundary Value Problems in Lipschitz Domains for Equations with Drifts. - 1 online resource (230 pages)

Source: Dissertation Abstracts International, Volume: 78-12(E), Section: B.

Thesis (Ph.D.)

Includes bibliographical references

In this work we establish solvability and uniqueness for the D2 Dirichlet problem and the R2 Regularity problem for second order elliptic operators L = -div(A∇·) + b∇· in bounded Lipschitz domains, for which b is bounded, as well as their adjoint operators Lt = --div( At∇·) --div(b·). The methods that we use are estimates on harmonic measure, and the method of layer potentials.

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2018

Mode of access: World Wide Web

ISBN: 9780355077919Subjects--Topical Terms:

527692
Mathematics.
Index Terms--Genre/Form:

554714
Electronic books.

Boundary Value Problems in Lipschitz Domains for Equations with Drifts.
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020 $a 9780355077919
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035 $a AAI10273038
040 $a MiAaPQ $b eng $c MiAaPQ
099 $a TUL $f hyy $c available through World Wide Web
100 1 $a Sakellaris, Georgios. $3 1180713
245 1 0 $a Boundary Value Problems in Lipschitz Domains for Equations with Drifts.
264 0 $c 2017
300 $a 1 online resource (230 pages)
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
500 $a Source: Dissertation Abstracts International, Volume: 78-12(E), Section: B.
500 $a Advisers: Carlos Kenig; Panagiotis Souganidis.
502 $a Thesis (Ph.D.) $c The University of Chicago $d 2017.
504 $a Includes bibliographical references
520 $a In this work we establish solvability and uniqueness for the D2 Dirichlet problem and the R2 Regularity problem for second order elliptic operators L = -div(A∇·) + b∇· in bounded Lipschitz domains, for which b is bounded, as well as their adjoint operators Lt = --div( At∇·) --div(b·). The methods that we use are estimates on harmonic measure, and the method of layer potentials.
520 $a The nature of our methods applied to D2 for L and R2 for Lt leads us to impose a specific size condition on div b in order to obtain solvability. On the other hand, we show that R 2 for L and D2 for Lt are uniquely solvable, only assuming that A is Lipschitz continuous (and not necessarily symmetric) and b is just bounded.
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2018
538 $a Mode of access: World Wide Web
650 4 $a Mathematics. $3 527692
655 7 $a Electronic books. $2 local $3 554714
690 $a 0405
710 2 $a ProQuest Information and Learning Co. $3 1178819
710 2 $a The University of Chicago. $b Mathematics. $3 1180611
773 0 $t Dissertation Abstracts International $g 78-12B(E).
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10273038 $z click for full text (PQDT)

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