Linear Elliptic Differential Systems and Eigenvalue Problems. 1st ed. 1965

種類:

電子ブック

責任表示:

by Gaetano Fichera

出版情報:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1965

著者名:

• Fichera, Gaetano.
• SpringerLink (Online service)

シリーズ名:

Lecture Notes in Mathematics ; 8

ISBN:

9783540371342 [3540371346]    

注記:

“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 -

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