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Record Nr. |
UNISA996466765303316 |
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Autore |
Fichera Gaetano <1922-1996, > |
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Titolo |
Linear elliptic differential systems and eigenvalue problems / / Gaetano Fichera |
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Pubbl/distr/stampa |
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Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1965] |
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©1965 |
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ISBN |
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Edizione |
[1st ed. 1965.] |
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Descrizione fisica |
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1 online resource (IV, 177 p.) |
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Collana |
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Lecture Notes in Mathematics, , 0075-8434 ; ; 8 |
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Disciplina |
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Soggetti |
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Boundary value problems |
Differential equations, Elliptic |
Differential equations, Linear |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di contenuto |
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“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. |
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