Linear elliptic differential systems and eigenvalue problems / / Gaetano Fichera

• Autore: Fichera Gaetano <1922-1996, >
• Pubblicazione: Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1965]; ©1965
• Edizione: 1st ed. 1965.
• Descrizione fisica: 1 online resource (IV, 177 p.)
• Disciplina: 517.383
• Soggetto topico: Boundary value problems; Differential equations, Elliptic; Differential equations, Linear
• Note generali: Bibliographic Level Mode of Issuance: Monograph
• Nota di contenuto: “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.
• Titolo autorizzato: Linear elliptic differential systems and eigenvalue problems
• ISBN: 3-540-37134-6
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 996466765303316
• Lo trovi qui: Univ. di Salerno
• Serie: Lecture Notes in Mathematics, . 0075-8434 ; ; 8