13466.一類pde約束的最優(yōu)化問題解存在的充分條件

1、分類號——ICS——學校代碼!Q!三魚學號2Q13QQQ嬰委茁～菱一3藿內蒙名民燕大學碩士學位論文一類PDE約束的最優(yōu)化問題解存在的充分條件AclassofPDEconstraintoptimizationproblemw“hasuf6cientconditionfbrtheexistenceofthesolution申請人：學科專業(yè)：研究方向：學位類別：指導教師：熙琳應用數(shù)學優(yōu)化理論、方向及其應用學術學位韓海山教授論文提交日期：二。一

2、六年六月AclassofPDEcons仃aintoptimiza土ionproblemwchasu伍cientconditionf0rⅡ1ee)【istenceofthesolutionAbstractThePDEcorIstramedoptimizatiDnproblemist11ecoreofaclassofoptinlalcomrolproblems，itsmeoreticaIrcse盯chandpracticalapplicat

3、ionofhastheveryvitalsignif|canceThbkh證ofp∞bkm奴thepetrokumchemical洫d垃stfylheextfa盛論nofrawmaterials，drugeXtraction，etc，proVidesuswi也manyvaluablemodelsARerwejntroducedthebacIq蓼ouIld，researchstatusandthenecessa眄basicl(nowled

4、geoftheconstrainedopt肌注ationofmePDEconstrainedoptiIllizationproblemThispapermainlystudiestheoptimizationproblemwithPDEconstraintsInlimi￡血gcontrolvariabkisless吐lanace吐ainvalue’themaiflreseafchconcentisasfolIows：Thisp印erfi

5、rstdefmesathePDEconstraint叩timizationproblem，andthenusingthe、，ariationalanalysisprovesmatwjth甘1econtemofthePDEconstramtoptimizationproblemofttleexistenceofthesolutionSecondIy，、Ⅳcputfon忸rdthetwelatedproblemsandproVetheeXi

6、stenceof妞solution、v妯themKeyword：f矗e。羅ffmi翻爵口np，D6缸m，j豫，，f脅Zdi駱理捌切f∞，坫加新拯，坊8ez西紀行cP礦solutionobStnclep陽bkmD；rectedby：profHanHaishan(Ph，D)AppIicantforMasterdegree：Xilin(AppliedMath∞latics)$ollegeofMathcmatics，lnnerMDn魯oliaU