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# LaTeX2HTML 95.1 (Fri Jan 20 1995)# Associate image original text (scrambled) with physical files.$key = q/{_inline}$psirightarroww${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img418.gif">'; $key = q/{_inline}$Du_T${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img336.gif">'; $key = q/{_inline}$Gamma=Gamma_0cupGamma_1${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img242.gif">'; $key = q/{_inline}$omega_i=1over2${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img492.gif">'; $key = q/{_inline}$u_r=overlineu_r${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img359.gif">'; $key = q/{_inline}$displaystyleDX(1)_T1(a_i)=DX(1)_T2(a_i)=....=DX(1)_T5(a_i)${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img43.gif">'; $key = q/{_inline}$underlineE_ijkh${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img24.gif">'; $key = q/{_inline}$H^1_0,Gamma_1(Omega)={v,vinH^1(Omega),v_|Gamma_1=0}${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img525.gif">'; $key = q/{_inline}$le${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img63.gif">'; $key = q/{_inline}$displaystyle[E]=left(arraycE_11....sym.arrayarraycE_12E_22....arrayarraycE_13E_23E_33...arrayarraycE_14E_24E_34E_44..arrayarraycE_15E_25E_35E_45E_55.arrayarraycE_16E_26E_36E_46E_56E_66arrayright)${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img305.gif">'; $key = q/{_inline}$underlinef^Omega${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img11.gif">'; $key = q/{_inline}$(u,lambda)${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img542.gif">'; $key = q/{_inline}$f_i^Omega${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img116.gif">'; $key = q/{_inline}$displaystyleDu_T=left(arraycdisplaystyleu_rdisplaystylepartialu_roverpartialrdisplaystylepartialu_roverpartialzdisplaystylepartialu_zoverpartialrdisplaystylepartialu_zoverpartialzarrayright)=[calDcalP]{u_T}${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img377.gif">'; $key = q/{_inline}$displaystylea(vecu,vecv)=(f,vecv),quadforallvecvinvecV${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img459.gif">'; $key = q/{_inline}$(psi,psi,_1,psi,_2)rightarrow(w,w,_1,w,_2)${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img430.gif">'; $key = q/{_inline}$a_i(i=4,6)${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img38.gif">'; $key = q/{_inline}$left[B_Tright]${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img463.gif">'; $key = q/{_inline}$tildeu_ijrightarroww,_ij${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img417.gif">'; $key = q/{_inline}$sigma_ij,i${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img245.gif">'; $key = q/{_inline}$f^Gamma_2${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img157.gif">'; $key = q/{_inline}$tau=(tau_1,tau_2)${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img402.gif">'; $key = q/{_inline}$bx${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img511.gif">'; $key = q/{_inline}$displaystyledisplaystylephi_j(p_i)=delta_ijquad1leqi,jleqN_T${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img214.gif">'; $key = q/{_inline}$epsilontimes${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img60.gif">'; $key = q/{_inline}$u_z=overlineu_z${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img360.gif">'; $key = q/{_inline}$w_h${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img407.gif">'; $key = q/{_inline}$f^Omega(i,k)${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img609.gif">'; $key = q/{_inline}$displaystyleFONINT=left{arrayll.TRUE.;SPM_amp;mboxutilisationdefonctionsinterpr閠閑s.FALSE.;SPM_amp;mboxutilisationdeVALCLR,VALCLDouVALCLCarrayright.${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img179.gif">'; $key = q/{_inline}$displaystylec(v,lambda)=-int_GammalambdaM_n(v)ds,forallvinX${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img422.gif">'; $key = q/{_inline}$displaystylefracpartialsigma_ijpartialx_i${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img246.gif">'; $key = q/{_inline}$times${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img73.gif">'; $key = q/{_inline}$g_mu^0_m(a_1)${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img113.gif">'; $key = q/{_inline}$neq${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img166.gif">'; $key = q/{_inline}$displaystyleleft.arrayllla(tildeu,tildev);SPM_amp;=;SPM_amp;displaystyleDint_Omega[u_11v_11+2(1-nu)u_12v_12+u_22v_22+nu(u_11v_22+u_22v_11)]dbxb(tildeu,phi);SPM_amp;=;SPM_amp;displaystyleint_Gamma[-M_n(tildev)partialphioverpartialn+M_ntau(tildev)partialphioverpartialtau+Q_n(tildev)phi]dsl_V(tildev);SPM_amp;=;SPM_amp;displaystyle-a(tildef,tildev)mboxo鵷ildefmboxestsolutiondeAtildef=f^OmegamboxdansT,forallTincalT_hl_X(phi);SPM_amp;=;SPM_amp;displaystyle-b(tildef,phi)arrayright.${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img428.gif">'; $key = q/{_inline}$u_1${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img181.gif">'; $key = q/{_inline}$displaystyledisplaystylefracpartialupartialn=f^Gammambox,g=0mboxsurGamma_2${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img519.gif">'; $key = q/{_inline}$f^Gamma${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img89.gif">'; $key = q/{_inline}$displaystyle{u_|T}=[P]{u_T}${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img563.gif">'; $key = q/{_inline}$displaystyle[calP]=left(arraycP00arrayarrayc0P0arrayarrayc00Parrayright)${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img289.gif">'; $key = q/{_inline}$displaystyleSigma_T={p(a_i),1leqileq6}${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img225.gif">'; $key = q/{_inline}$f^Omega_1,f^Omega_2,f^Gamma_1${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img156.gif">'; $key = q/{_inline}$E_ijkh${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img140.gif">'; $key = q/{_inline}$(underlinebaru_0_i)_i=1,3${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img26.gif">'; $key = q/{_inline}$f^Gamma(1,x,S_12)${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img480.gif">'; $key = q/{_inline}$f^Gamma(1,y,S_12)${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img482.gif">'; $key = q/{_inline}$w=partialwoverpartialn=0mboxsurGamma${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img392.gif">'; $key = q/{_inline}$displaystyleDP=DP(bx)=left(arraycdisplaystylepartialp_1overpartialxdisplaystylepartialp_1overpartialydisplaystylepartialp_1overpartialzarrayarraycdisplaystylepartialp_2overpartialxdisplaystylepartialp_2overpartialydisplaystylepartialp_2overpartialzarrayarrayc.........arrayarraycdisplaystylepartialp_noverpartialxdisplaystylepartialp_noverpartialydisplaystylepartialp_noverpartialzarrayright)${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img293.gif">'; $key = q/{_inline}$displaystyle[E]=left(arraycE_11.sym.arrayarraycE_12E_22.arrayarraycE_13E_23E_33arrayright)${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img341.gif">'; $key = q/{_inline}$left|NOTELright|=2${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img607.gif">'; $key = q/{picture}(178,151)(0,-10)path(10,50)(100,125)(170,15)(10,50)put(35,95)makebox(0,0)[lb]raisebox0pt[0pt][0pt]shortstack[l]sevrm_inline$a_6$_inlineput(140,75)makebox(0,0)[lb]raisebox0pt[0pt][0pt]shortstack[l]sevrm_inline$a_5$_inlineput(70,20)makebox(0,0)[lb]raisebox0pt[0pt][0pt]shortstack[l]sevrm_inline$a_4$_inlineput(85,69)makebox(0,0)[lb]raisebox0pt[0pt][0pt]shortstack[l]sevrm_inline$a_7$_inlineput(115,125)makebox(0,0)[lb]raisebox0pt[0pt][0pt]shortstack[l]sevrm_inline$a_3$_inlineput(160,0)makebox(0,0)[lb]raisebox0pt[0pt][0pt]shortstack[l]sevrm_inline$a_2$_inlineput(0,35)makebox(0,0)[lb]raisebox0pt[0pt][0pt]shortstack[l]sevrm_inline$a_1$_inlineput(7,46)_inline$bullet$_inlineput(95,121)_inline$bullet$_inlineput(162,13)_inline$bullet$_inlineput(53,84)_inline$bullet$_inlineput(130,66)_inline$bullet$_inlineput(87,29)_inline$bullet$_inlineput(80,60)_inline$bullet$_inline{picture}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img36.gif">'; $key = q/{_inline}$displaystyleint_T^t[calDcalP]^t[calD][E][calD][calDcalP]dbx${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img310.gif">'; $key = q/{_inline}$displaystylebarX=prod_TinT_hH(div;T)${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img550.gif">'; $key = q/{_inline}$displaystyleZ={lambdainP_0(l)foralllmboxar阾edecalT_h,forallTincalT_h}${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img421.gif">'; $key = q/{_inline}$displaystyleP=P(bx)=[p_1(bx),p_2(bx),...,p_N_T(bx)]=[p_1,p_2,...,p_N_T]${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img288.gif">'; $key = q/{_inline}$displaystyleX={tildev=(v_ij)mboxpouri,j=1,2,v_12=v_21mboxetv_ij_TinP_0(T),forallTincalT_h}${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img423.gif">'; $key = q/{_inline}$displaystylef^Gamma_l(i,j,k)_(l=1,2)~:left{arraylli=1,NDSM;SPM_amp;mboxnombredecasdecharge(NDSM)j=1,2;SPM_amp;mboxnombredecomposantes(NDIM)k=1,npil;SPM_amp;mboxo鵱pil(=3)mboxestlenombredepoints;SPM_amp;mboxd'int間rationlin閕que(lesextr閙it閟;SPM_amp;mboxetlemilieudel'ar阾econcern閑)arrayright.${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img155.gif">'; $key = q/{_inline}$lambda^prime=2lambdamuover(lambda+2mu)${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img329.gif">'; $key = q/{_inline}$delta_ij${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img256.gif">'; $key = q/{_inline}$f_1^Omega(a_1)${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img102.gif">'; $key = q/{_inline}$displaystyleleft{arrayldisplaystylea(u_h,v_h)-b(v_h,w_h)=l_X(v_h),quadforallv_hinX_hdisplaystyleb(u_h,phi)quadquadquad=l_V(phi),quadforallphiinV_harrayright.${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img412.gif">'; $key = q/{_inline}$displaystyleleft{tabularlNDL(1)=0NDL(K+1)=mboxnum閞odudernierd.l.associ閍unoeudKtabularright.${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img78.gif">'; $key = q/{_inline}$F_T:hatTrightarrowT${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img48.gif">'; $key = q/{_inline}$mboxforallmboxK,${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img79.gif">'; $key = q/{_inline}$underlinek_ij${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img8.gif">'; $key = q/{_inline}$displaystyleleft.arrayll;SPM_amp;mboxnum閞odelasurface郿閏riredanslanum閞otationinternede;SPM_amp;mboxl'閘閙entsiNDIM=3;SPM_amp;mbox(ilestn閏essairedeconsulterlaS.D.MAIL)~;=;SPM_amp;mbox0(parhomog閚閕t

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