Author | Fichera, Gaetano. author |
---|---|
Title | Linear elliptic differential systems and eigenvalue problems [electronic resource] : The Johns Hopkins University, Baltimore Md, March - May 1965 / by Gaetano Fichera |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1965 |
Connect to | http://dx.doi.org/10.1007/BFb0079959 |
Descript | IV, 177 p. online resource |
โWell posedโ 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. Gยปrding inequality. Eigenvalue problems -- Eigenvalue problems. The Rayleigh-Ritz method -- The WeinsteinโAronszajn 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