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Comparison principles for parabolic ...

Li, Shiu-Tang.

Comparison principles for parabolic stochastic partial differential equations.

Record Type:	Language materials, manuscript : Monograph/item
Title/Author:	Comparison principles for parabolic stochastic partial differential equations./
Author:	Li, Shiu-Tang.
Description:	1 online resource (67 pages)
Notes:	Source: Dissertation Abstracts International, Volume: 78-10(E), Section: B.
Contained By:	Dissertation Abstracts International78-10B(E).
Subject:	Mathematics. -
Online resource:	click for full text (PQDT)
ISBN:	9781369781038

Comparison principles for parabolic stochastic partial differential equations.
Li, Shiu-Tang.

Comparison principles for parabolic stochastic partial differential equations. - 1 online resource (67 pages)

Source: Dissertation Abstracts International, Volume: 78-10(E), Section: B.

Thesis (Ph.D.)

Includes bibliographical references

We show that a large class of stochastic heat equations can be approximated by systems of interacting stochastic differential equations. We use this fact to build moment compar- ison principles for stochastic heat equations with smooth spatially homogeneous noises (SHE(1)), and then use them to approximate the solution of stochastic heat equations with spatially homogeneous noise with Riesz kernels (SHE(2)), and obtain moment comparison principles for SHE(2) as well.

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

Mode of access: World Wide Web

ISBN: 9781369781038Subjects--Topical Terms:

527692
Mathematics.
Index Terms--Genre/Form:

554714
Electronic books.

Comparison principles for parabolic stochastic partial differential equations.
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008 190606s2017 xx obm 000 0 eng d
020 $a 9781369781038
035 $a (MiAaPQ)AAI10261460
035 $a (MiAaPQ)utah:13751
035 $a AAI10261460
040 $a MiAaPQ $b eng $c MiAaPQ
099 $a TUL $f hyy $c available through World Wide Web
100 1 $a Li, Shiu-Tang. $3 1180635
245 1 0 $a Comparison principles for parabolic stochastic partial differential equations.
264 0 $c 2017
300 $a 1 online resource (67 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: 78-10(E), Section: B.
500 $a Adviser: Davar Khoshnevisan.
502 $a Thesis (Ph.D.) $c The University of Utah $d 2017.
504 $a Includes bibliographical references
520 $a We show that a large class of stochastic heat equations can be approximated by systems of interacting stochastic differential equations. We use this fact to build moment compar- ison principles for stochastic heat equations with smooth spatially homogeneous noises (SHE(1)), and then use them to approximate the solution of stochastic heat equations with spatially homogeneous noise with Riesz kernels (SHE(2)), and obtain moment comparison principles for SHE(2) as well.
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 Utah. $b Mathematics. $3 1180636
773 0 $t Dissertation Abstracts International $g 78-10B(E).
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10261460 $z click for full text (PQDT)

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