Synopses & Reviews
Synopsis
1. Preliminaries.- 2. The Laplace Operator.- 3. Second-order elliptic equations.- 4. The classical Dirichlet problem for second-order elliptic operators.- 5. Elliptic operators of arbitrary order.- 6. Operators and quadratic forms in Hilbert space.- 7. Realisations of second-order linear elliptic operators.- 8. The Lp approach to the Laplace operator.- 9. The p-Laplacian.- 10. The Rellich inequality.- 11. More properties on Sobolev embeddings.- 12. The Dirac Operator.