Forward and backward in time Cauchy problems for systems of parabolic-type PDE with a small parameter

The paper introduces a class of functions where the resolving operator for a system of Kolmogorov–Feller‐type equations with a small parameter is well posed in forward and backward times. The introduced class of functions is invariant under the resolving operator if the solution is understood in the...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Mathematische Nachrichten 2016-05, Vol.289 (7), p.802-819
1. Verfasser: Danilov, V. G.
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 819
container_issue 7
container_start_page 802
container_title Mathematische Nachrichten
container_volume 289
creator Danilov, V. G.
description The paper introduces a class of functions where the resolving operator for a system of Kolmogorov–Feller‐type equations with a small parameter is well posed in forward and backward times. The introduced class of functions is invariant under the resolving operator if the solution is understood in the weak sense with an exponential weight. The paper continues the study of .
doi_str_mv 10.1002/mana.201400219
format Article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_1785693748</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>4041131511</sourcerecordid><originalsourceid>FETCH-LOGICAL-c3109-72729d68f5282f3e175dea7d0f3a8c9c00fa6b0ff5dfe71c10a29e9ec780c7de3</originalsourceid><addsrcrecordid>eNqFkLtPwzAQxi0EEqWwMltiTrGdxo7HqrQFUQoDL7FYF8dW0-ZR7FQl_z1pgxAb072-393pQ-iSkgElhF0XUMKAETpsCyqPUI9GjAWMU36Mem0vCqJ4-H6KzrxfEUKkFLyHzLRyO3AphjLFCej1ochKXGeFwWPY6mWDN65KclN4bCuHfePrfV5ZvAEHSZVnOqibjcFPNxO8y-olBuwLyPPDvDC1cefoxELuzcVP7KOX6eR5fBvMH2d349E80CElMhBMMJny2EYsZjY0VESpAZESG0KspSbEAk-ItVFqjaCaEmDSSKNFTLRITdhHV93e9uPPrfG1WlVbV7YnFRVxxGUohnGrGnQq7SrvnbFq47ICXKMoUXsr1d5K9WtlC8gO2GW5af5Rq4fRYvSXDTo2a237-mXBrRUXoYjU22KmJH-lIb__UCL8BuV7h8A</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>1785693748</pqid></control><display><type>article</type><title>Forward and backward in time Cauchy problems for systems of parabolic-type PDE with a small parameter</title><source>Access via Wiley Online Library</source><creator>Danilov, V. G.</creator><creatorcontrib>Danilov, V. G.</creatorcontrib><description>The paper introduces a class of functions where the resolving operator for a system of Kolmogorov–Feller‐type equations with a small parameter is well posed in forward and backward times. The introduced class of functions is invariant under the resolving operator if the solution is understood in the weak sense with an exponential weight. The paper continues the study of .</description><identifier>ISSN: 0025-584X</identifier><identifier>EISSN: 1522-2616</identifier><identifier>DOI: 10.1002/mana.201400219</identifier><language>eng</language><publisher>Weinheim: Blackwell Publishing Ltd</publisher><subject>Cauchy problem ; inverse Cauchy problem ; WKB-like asymptotics</subject><ispartof>Mathematische Nachrichten, 2016-05, Vol.289 (7), p.802-819</ispartof><rights>2015 WILEY‐VCH Verlag GmbH &amp; Co. KGaA, Weinheim</rights><rights>Copyright © 2016 WILEY-VCH Verlag GmbH &amp; Co. KGaA, Weinheim</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c3109-72729d68f5282f3e175dea7d0f3a8c9c00fa6b0ff5dfe71c10a29e9ec780c7de3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://onlinelibrary.wiley.com/doi/pdf/10.1002%2Fmana.201400219$$EPDF$$P50$$Gwiley$$H</linktopdf><linktohtml>$$Uhttps://onlinelibrary.wiley.com/doi/full/10.1002%2Fmana.201400219$$EHTML$$P50$$Gwiley$$H</linktohtml><link.rule.ids>314,780,784,1417,27924,27925,45574,45575</link.rule.ids></links><search><creatorcontrib>Danilov, V. G.</creatorcontrib><title>Forward and backward in time Cauchy problems for systems of parabolic-type PDE with a small parameter</title><title>Mathematische Nachrichten</title><addtitle>Math. Nachr</addtitle><description>The paper introduces a class of functions where the resolving operator for a system of Kolmogorov–Feller‐type equations with a small parameter is well posed in forward and backward times. The introduced class of functions is invariant under the resolving operator if the solution is understood in the weak sense with an exponential weight. The paper continues the study of .</description><subject>Cauchy problem</subject><subject>inverse Cauchy problem</subject><subject>WKB-like asymptotics</subject><issn>0025-584X</issn><issn>1522-2616</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><recordid>eNqFkLtPwzAQxi0EEqWwMltiTrGdxo7HqrQFUQoDL7FYF8dW0-ZR7FQl_z1pgxAb072-393pQ-iSkgElhF0XUMKAETpsCyqPUI9GjAWMU36Mem0vCqJ4-H6KzrxfEUKkFLyHzLRyO3AphjLFCej1ochKXGeFwWPY6mWDN65KclN4bCuHfePrfV5ZvAEHSZVnOqibjcFPNxO8y-olBuwLyPPDvDC1cefoxELuzcVP7KOX6eR5fBvMH2d349E80CElMhBMMJny2EYsZjY0VESpAZESG0KspSbEAk-ItVFqjaCaEmDSSKNFTLRITdhHV93e9uPPrfG1WlVbV7YnFRVxxGUohnGrGnQq7SrvnbFq47ICXKMoUXsr1d5K9WtlC8gO2GW5af5Rq4fRYvSXDTo2a237-mXBrRUXoYjU22KmJH-lIb__UCL8BuV7h8A</recordid><startdate>201605</startdate><enddate>201605</enddate><creator>Danilov, V. G.</creator><general>Blackwell Publishing Ltd</general><general>Wiley Subscription Services, Inc</general><scope>BSCLL</scope><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>201605</creationdate><title>Forward and backward in time Cauchy problems for systems of parabolic-type PDE with a small parameter</title><author>Danilov, V. G.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c3109-72729d68f5282f3e175dea7d0f3a8c9c00fa6b0ff5dfe71c10a29e9ec780c7de3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>Cauchy problem</topic><topic>inverse Cauchy problem</topic><topic>WKB-like asymptotics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Danilov, V. G.</creatorcontrib><collection>Istex</collection><collection>CrossRef</collection><jtitle>Mathematische Nachrichten</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Danilov, V. G.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Forward and backward in time Cauchy problems for systems of parabolic-type PDE with a small parameter</atitle><jtitle>Mathematische Nachrichten</jtitle><addtitle>Math. Nachr</addtitle><date>2016-05</date><risdate>2016</risdate><volume>289</volume><issue>7</issue><spage>802</spage><epage>819</epage><pages>802-819</pages><issn>0025-584X</issn><eissn>1522-2616</eissn><abstract>The paper introduces a class of functions where the resolving operator for a system of Kolmogorov–Feller‐type equations with a small parameter is well posed in forward and backward times. The introduced class of functions is invariant under the resolving operator if the solution is understood in the weak sense with an exponential weight. The paper continues the study of .</abstract><cop>Weinheim</cop><pub>Blackwell Publishing Ltd</pub><doi>10.1002/mana.201400219</doi><tpages>18</tpages></addata></record>
fulltext fulltext
identifier ISSN: 0025-584X
ispartof Mathematische Nachrichten, 2016-05, Vol.289 (7), p.802-819
issn 0025-584X
1522-2616
language eng
recordid cdi_proquest_journals_1785693748
source Access via Wiley Online Library
subjects Cauchy problem
inverse Cauchy problem
WKB-like asymptotics
title Forward and backward in time Cauchy problems for systems of parabolic-type PDE with a small parameter
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-19T14%3A41%3A08IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Forward%20and%20backward%20in%20time%20Cauchy%20problems%20for%20systems%20of%20parabolic-type%20PDE%20with%20a%20small%20parameter&rft.jtitle=Mathematische%20Nachrichten&rft.au=Danilov,%20V.%20G.&rft.date=2016-05&rft.volume=289&rft.issue=7&rft.spage=802&rft.epage=819&rft.pages=802-819&rft.issn=0025-584X&rft.eissn=1522-2616&rft_id=info:doi/10.1002/mana.201400219&rft_dat=%3Cproquest_cross%3E4041131511%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=1785693748&rft_id=info:pmid/&rfr_iscdi=true