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...
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Veröffentlicht in: | Mathematische Nachrichten 2016-05, Vol.289 (7), p.802-819 |
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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 |
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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 & Co. KGaA, Weinheim</rights><rights>Copyright © 2016 WILEY-VCH Verlag GmbH & Co. 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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> |
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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 |
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