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Exponential decay of the solutions for nonlinear multiharmonic equations
The purpose of this paper is to establish the exponential decay properties of the solutions for the nonlinear multiharmonic equation { ( − Δ ) K u + a ( x ) u = g ( x , u ) , u ∈ H K ( R N ) ⋂ C 2 K ( R N ) , where the condition u ∈ H K ( R N ) plays the role of a boundary value condition.
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| Published in: | Nonlinear analysis 2008-10, Vol.69 (7), p.1953-1965 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Subjects: | |
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| Online Access: | Get full text |
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| cited_by | cdi_FETCH-LOGICAL-c387t-1159f44b5854fcd823f50cf5869ac0261e5e5abb7279ac149ac5b9c6adc4e9913 |
|---|---|
| cites | cdi_FETCH-LOGICAL-c387t-1159f44b5854fcd823f50cf5869ac0261e5e5abb7279ac149ac5b9c6adc4e9913 |
| container_end_page | 1965 |
| container_issue | 7 |
| container_start_page | 1953 |
| container_title | Nonlinear analysis |
| container_volume | 69 |
| creator | Deng, Yinbin Jin, Lingyu |
| description | The purpose of this paper is to establish the exponential decay properties of the solutions for the nonlinear multiharmonic equation
{
(
−
Δ
)
K
u
+
a
(
x
)
u
=
g
(
x
,
u
)
,
u
∈
H
K
(
R
N
)
⋂
C
2
K
(
R
N
)
,
where the condition
u
∈
H
K
(
R
N
)
plays the role of a boundary value condition. |
| doi_str_mv | 10.1016/j.na.2007.07.036 |
| format | article |
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{
(
−
Δ
)
K
u
+
a
(
x
)
u
=
g
(
x
,
u
)
,
u
∈
H
K
(
R
N
)
⋂
C
2
K
(
R
N
)
,
where the condition
u
∈
H
K
(
R
N
)
plays the role of a boundary value condition.</description><identifier>ISSN: 0362-546X</identifier><identifier>EISSN: 1873-5215</identifier><identifier>DOI: 10.1016/j.na.2007.07.036</identifier><identifier>CODEN: NOANDD</identifier><language>eng</language><publisher>Amsterdam: Elsevier Ltd</publisher><subject>Decay ; Exact sciences and technology ; Exponential decay ; Fundamental solutions ; Mathematical analysis ; Mathematics ; Multiharmonic equations ; Nonlinearity ; Sciences and techniques of general use</subject><ispartof>Nonlinear analysis, 2008-10, Vol.69 (7), p.1953-1965</ispartof><rights>2007 Elsevier Ltd</rights><rights>2015 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c387t-1159f44b5854fcd823f50cf5869ac0261e5e5abb7279ac149ac5b9c6adc4e9913</citedby><cites>FETCH-LOGICAL-c387t-1159f44b5854fcd823f50cf5869ac0261e5e5abb7279ac149ac5b9c6adc4e9913</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.sciencedirect.com/science/article/pii/S0362546X07005068$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,776,780,3551,27901,27902,45978</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=20538894$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Deng, Yinbin</creatorcontrib><creatorcontrib>Jin, Lingyu</creatorcontrib><title>Exponential decay of the solutions for nonlinear multiharmonic equations</title><title>Nonlinear analysis</title><description>The purpose of this paper is to establish the exponential decay properties of the solutions for the nonlinear multiharmonic equation
{
(
−
Δ
)
K
u
+
a
(
x
)
u
=
g
(
x
,
u
)
,
u
∈
H
K
(
R
N
)
⋂
C
2
K
(
R
N
)
,
where the condition
u
∈
H
K
(
R
N
)
plays the role of a boundary value condition.</description><subject>Decay</subject><subject>Exact sciences and technology</subject><subject>Exponential decay</subject><subject>Fundamental solutions</subject><subject>Mathematical analysis</subject><subject>Mathematics</subject><subject>Multiharmonic equations</subject><subject>Nonlinearity</subject><subject>Sciences and techniques of general use</subject><issn>0362-546X</issn><issn>1873-5215</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2008</creationdate><recordtype>article</recordtype><recordid>eNp9kMFLwzAUxoMoOKd3j72op9akSdrUm4zphIEXBW8hTV9YRpdsSSvuv7d1w5vC4z34-H3fgw-ha4Izgklxv86cynKMy2wcWpygCRElTXlO-CmaDEqeclZ8nKOLGNcYY1LSYoIW86-td-A6q9qkAa32iTdJt4Ik-rbvrHcxMT4kzrvWOlAh2fRtZ1cqbLyzOoFdr36oS3RmVBvh6nin6P1p_jZbpMvX55fZ4zLVVJRdSgivDGM1F5wZ3YicGo614aKolMZ5QYADV3Vd5uUgEDYsXle6UI1mUFWETtHdIXcb_K6H2MmNjRraVjnwfZTVUIZgjPGBvP2XpAyLiudsAPEB1MHHGMDIbbAbFfaSYDmWK9fSKTmWK8ehxWC5OWarqFVrgnLaxl9fjjkVohqjHw4cDJV8WggyagtOQ2MD6E423v795BsPyo7X</recordid><startdate>20081001</startdate><enddate>20081001</enddate><creator>Deng, Yinbin</creator><creator>Jin, Lingyu</creator><general>Elsevier Ltd</general><general>Elsevier</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20081001</creationdate><title>Exponential decay of the solutions for nonlinear multiharmonic equations</title><author>Deng, Yinbin ; Jin, Lingyu</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c387t-1159f44b5854fcd823f50cf5869ac0261e5e5abb7279ac149ac5b9c6adc4e9913</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2008</creationdate><topic>Decay</topic><topic>Exact sciences and technology</topic><topic>Exponential decay</topic><topic>Fundamental solutions</topic><topic>Mathematical analysis</topic><topic>Mathematics</topic><topic>Multiharmonic equations</topic><topic>Nonlinearity</topic><topic>Sciences and techniques of general use</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Deng, Yinbin</creatorcontrib><creatorcontrib>Jin, Lingyu</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Nonlinear analysis</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Deng, Yinbin</au><au>Jin, Lingyu</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Exponential decay of the solutions for nonlinear multiharmonic equations</atitle><jtitle>Nonlinear analysis</jtitle><date>2008-10-01</date><risdate>2008</risdate><volume>69</volume><issue>7</issue><spage>1953</spage><epage>1965</epage><pages>1953-1965</pages><issn>0362-546X</issn><eissn>1873-5215</eissn><coden>NOANDD</coden><abstract>The purpose of this paper is to establish the exponential decay properties of the solutions for the nonlinear multiharmonic equation
{
(
−
Δ
)
K
u
+
a
(
x
)
u
=
g
(
x
,
u
)
,
u
∈
H
K
(
R
N
)
⋂
C
2
K
(
R
N
)
,
where the condition
u
∈
H
K
(
R
N
)
plays the role of a boundary value condition.</abstract><cop>Amsterdam</cop><pub>Elsevier Ltd</pub><doi>10.1016/j.na.2007.07.036</doi><tpages>13</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0362-546X |
| ispartof | Nonlinear analysis, 2008-10, Vol.69 (7), p.1953-1965 |
| issn | 0362-546X 1873-5215 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_901684445 |
| source | Elsevier; Backfile Package - Mathematics (Legacy) [YMT] |
| subjects | Decay Exact sciences and technology Exponential decay Fundamental solutions Mathematical analysis Mathematics Multiharmonic equations Nonlinearity Sciences and techniques of general use |
| title | Exponential decay of the solutions for nonlinear multiharmonic equations |
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