Linear elliptic differential systems and eigenvalue problems
Fichera, Gaetano.
Linear elliptic differential systems and eigenvalue problems The Johns Hopkins University, Baltimore Md, March – May 1965 / [electronic resource] : by Gaetano Fichera. - IV, 177 p. online resource. - Lecture Notes in Mathematics, 8 0075-8434 ; . - Lecture Notes in Mathematics, 8 .
“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.
9783540371342
10.1007/BFb0079959 doi
Mathematics.
Mathematics, general.
QA1-939
510
Linear elliptic differential systems and eigenvalue problems The Johns Hopkins University, Baltimore Md, March – May 1965 / [electronic resource] : by Gaetano Fichera. - IV, 177 p. online resource. - Lecture Notes in Mathematics, 8 0075-8434 ; . - Lecture Notes in Mathematics, 8 .
“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.
9783540371342
10.1007/BFb0079959 doi
Mathematics.
Mathematics, general.
QA1-939
510