On a Priori Estimates and Fredholm Property of Differential Operators in Anisotropic Spaces
The paper is devoted to special a priori estimates and Fredholm property of differential operators acting in anisotropic Sobolev spaces in ℝ n . Necessary conditions for a priori estimates in terms of the symbol of an operator are obtained. Under appropriate conditions imposed on the coefficients, a...
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| Veröffentlicht in: | Journal of contemporary mathematical analysis 2018-03, Vol.53 (2), p.61-70 |
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| container_issue | 2 |
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| container_title | Journal of contemporary mathematical analysis |
| container_volume | 53 |
| creator | Darbinyan, A. A. Tumanyan, A. G. |
| description | The paper is devoted to special a priori estimates and Fredholm property of differential operators acting in anisotropic Sobolev spaces in
ℝ
n
. Necessary conditions for a priori estimates in terms of the symbol of an operator are obtained. Under appropriate conditions imposed on the coefficients, a priori estimates are obtained in the corresponding weighted spaces. |
| doi_str_mv | 10.3103/S1068362318020012 |
| format | Article |
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ℝ
n
. Necessary conditions for a priori estimates in terms of the symbol of an operator are obtained. Under appropriate conditions imposed on the coefficients, a priori estimates are obtained in the corresponding weighted spaces.</description><identifier>ISSN: 1068-3623</identifier><identifier>EISSN: 1934-9416</identifier><identifier>DOI: 10.3103/S1068362318020012</identifier><language>eng</language><publisher>Moscow: Pleiades Publishing</publisher><subject>Differential equations ; Estimates ; Functional Analysis ; Linear equations ; Mathematics ; Mathematics and Statistics ; Operators ; Sobolev space</subject><ispartof>Journal of contemporary mathematical analysis, 2018-03, Vol.53 (2), p.61-70</ispartof><rights>Allerton Press, Inc. 2018</rights><rights>Copyright Springer Science & Business Media 2018</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c246t-e9af30725e29d3e7a5d737b12682a0287441b188d10158664c5c93d9c37350c73</citedby><cites>FETCH-LOGICAL-c246t-e9af30725e29d3e7a5d737b12682a0287441b188d10158664c5c93d9c37350c73</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.3103/S1068362318020012$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.3103/S1068362318020012$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,778,782,27913,27914,41477,42546,51308</link.rule.ids></links><search><creatorcontrib>Darbinyan, A. A.</creatorcontrib><creatorcontrib>Tumanyan, A. G.</creatorcontrib><title>On a Priori Estimates and Fredholm Property of Differential Operators in Anisotropic Spaces</title><title>Journal of contemporary mathematical analysis</title><addtitle>J. Contemp. Mathemat. Anal</addtitle><description>The paper is devoted to special a priori estimates and Fredholm property of differential operators acting in anisotropic Sobolev spaces in
ℝ
n
. Necessary conditions for a priori estimates in terms of the symbol of an operator are obtained. Under appropriate conditions imposed on the coefficients, a priori estimates are obtained in the corresponding weighted spaces.</description><subject>Differential equations</subject><subject>Estimates</subject><subject>Functional Analysis</subject><subject>Linear equations</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Operators</subject><subject>Sobolev space</subject><issn>1068-3623</issn><issn>1934-9416</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><recordid>eNp1UE1LAzEQDaJgrf4AbwHPqzNJdrM5llo_oFChevKwpNmsprSbNUkP_femVPAgnuYx72OYR8g1wi1H4HdLhKrmFeNYAwNAdkJGqLgolMDqNONMFwf-nFzEuAYoMxYj8r7oqaYvwfng6Cwmt9XJRqr7lj4E2376zTazfrAh7anv6L3rOhtsn5ze0EVe6-RDpK6nk95Fn7LUGboctLHxkpx1ehPt1c8ck7eH2ev0qZgvHp-nk3lhmKhSYZXuOEhWWqZabqUuW8nlCllVMw2slkLgCuu6RcCyriphSqN4qwyXvAQj-ZjcHHOH4L92NqZm7XehzycbBkzJUgCKrMKjygQfY7BdM4T8bdg3CM2hw-ZPh9nDjp6Ytf2HDb_J_5u-ARAHcU0</recordid><startdate>20180301</startdate><enddate>20180301</enddate><creator>Darbinyan, A. A.</creator><creator>Tumanyan, A. G.</creator><general>Pleiades Publishing</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20180301</creationdate><title>On a Priori Estimates and Fredholm Property of Differential Operators in Anisotropic Spaces</title><author>Darbinyan, A. A. ; Tumanyan, A. G.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c246t-e9af30725e29d3e7a5d737b12682a0287441b188d10158664c5c93d9c37350c73</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2018</creationdate><topic>Differential equations</topic><topic>Estimates</topic><topic>Functional Analysis</topic><topic>Linear equations</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Operators</topic><topic>Sobolev space</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Darbinyan, A. A.</creatorcontrib><creatorcontrib>Tumanyan, A. G.</creatorcontrib><collection>CrossRef</collection><jtitle>Journal of contemporary mathematical analysis</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Darbinyan, A. A.</au><au>Tumanyan, A. G.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On a Priori Estimates and Fredholm Property of Differential Operators in Anisotropic Spaces</atitle><jtitle>Journal of contemporary mathematical analysis</jtitle><stitle>J. Contemp. Mathemat. Anal</stitle><date>2018-03-01</date><risdate>2018</risdate><volume>53</volume><issue>2</issue><spage>61</spage><epage>70</epage><pages>61-70</pages><issn>1068-3623</issn><eissn>1934-9416</eissn><abstract>The paper is devoted to special a priori estimates and Fredholm property of differential operators acting in anisotropic Sobolev spaces in
ℝ
n
. Necessary conditions for a priori estimates in terms of the symbol of an operator are obtained. Under appropriate conditions imposed on the coefficients, a priori estimates are obtained in the corresponding weighted spaces.</abstract><cop>Moscow</cop><pub>Pleiades Publishing</pub><doi>10.3103/S1068362318020012</doi><tpages>10</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1068-3623 |
| ispartof | Journal of contemporary mathematical analysis, 2018-03, Vol.53 (2), p.61-70 |
| issn | 1068-3623 1934-9416 |
| language | eng |
| recordid | cdi_proquest_journals_2029754014 |
| source | SpringerLink Journals - AutoHoldings |
| subjects | Differential equations Estimates Functional Analysis Linear equations Mathematics Mathematics and Statistics Operators Sobolev space |
| title | On a Priori Estimates and Fredholm Property of Differential Operators in Anisotropic Spaces |
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