03037nam 2200613 450 99646676530331620220909122444.03-540-37134-610.1007/BFb0079959(CKB)1000000000438789(SSID)ssj0000324443(PQKBManifestationID)12071116(PQKBTitleCode)TC0000324443(PQKBWorkID)10314203(PQKB)11563478(DE-He213)978-3-540-37134-2(MiAaPQ)EBC5590948(Au-PeEL)EBL5590948(OCoLC)1066199247(MiAaPQ)EBC6842263(Au-PeEL)EBL6842263(PPN)155233629(EXLCZ)99100000000043878920220909d1965 uy 0engurnn|008mamaatxtccrLinear elliptic differential systems and eigenvalue problems /Gaetano Fichera1st ed. 1965.Berlin, Germany ;New York, New York :Springer-Verlag,[1965]©19651 online resource (IV, 177 p.) Lecture Notes in Mathematics,0075-8434 ;8Bibliographic Level Mode of Issuance: Monograph3-540-03351-3 “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.Lecture Notes in Mathematics,0075-8434 ;8Boundary value problemsDifferential equations, EllipticDifferential equations, LinearBoundary value problems.Differential equations, Elliptic.Differential equations, Linear.517.383Fichera Gaetano1922-1996,761MiAaPQMiAaPQMiAaPQBOOK996466765303316Linear elliptic differential systems and eigenvalue problems262795UNISA