LEADER 03037nam 2200613 450 001 996466765303316 005 20220909122444.0 010 $a3-540-37134-6 024 7 $a10.1007/BFb0079959 035 $a(CKB)1000000000438789 035 $a(SSID)ssj0000324443 035 $a(PQKBManifestationID)12071116 035 $a(PQKBTitleCode)TC0000324443 035 $a(PQKBWorkID)10314203 035 $a(PQKB)11563478 035 $a(DE-He213)978-3-540-37134-2 035 $a(MiAaPQ)EBC5590948 035 $a(Au-PeEL)EBL5590948 035 $a(OCoLC)1066199247 035 $a(MiAaPQ)EBC6842263 035 $a(Au-PeEL)EBL6842263 035 $a(PPN)155233629 035 $a(EXLCZ)991000000000438789 100 $a20220909d1965 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aLinear elliptic differential systems and eigenvalue problems /$fGaetano Fichera 205 $a1st ed. 1965. 210 1$aBerlin, Germany ;$aNew York, New York :$cSpringer-Verlag,$d[1965] 210 4$d©1965 215 $a1 online resource (IV, 177 p.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v8 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-03351-3 327 $a?Well posed? boundary value problems -- Existence principle -- The function spaces and Hm -- The trace operator. Sobolev and Ehrling lemmas -- Elliptic linear systems. Interior regularity -- Existence of local solutions for elliptic systems -- Semiweak solutions of BVP for elliptic systems -- Regularity at the boundary: preliminary lemmas -- Regularity at the boundary: tangential derivatives -- Regularity at the boundary: final results -- The classical elliptic BVP of Mathematical physics: 2nd order linear PDE. -- The classical elliptic BVP of Mathematical Physics: Linear Elastostatics -- The classical elliptic BVP of Mathematical Physics: Equilibrium of thin plates -- Strongly elliptic operators. G»rding inequality. Eigenvalue problems -- Eigenvalue problems. The Rayleigh-Ritz method -- The Weinstein?Aronszajn method -- Construction of the intermediate operators -- Orthogonal invariants of positive compact operators -- Upper approximation of the eigenvalues of a PCO. Representation of orthogonal invariants -- Explicit construction of the Green's matrix for an elliptic system -- Erratum. 410 0$aLecture Notes in Mathematics,$x0075-8434 ;$v8 606 $aBoundary value problems 606 $aDifferential equations, Elliptic 606 $aDifferential equations, Linear 615 0$aBoundary value problems. 615 0$aDifferential equations, Elliptic. 615 0$aDifferential equations, Linear. 676 $a517.383 700 $aFichera$b Gaetano$f1922-1996,$0761 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466765303316 996 $aLinear elliptic differential systems and eigenvalue problems$9262795 997 $aUNISA