1 Table of Contents: “... -- Historical Notes -- 2 Sobolev Spaces and Their Basic Properties -- 2.1 Weak Derivatives -- 2.2 Change...”

2 Table of Contents: “.... The Theorem of Egorov -- 18. The Transformation Formula -- V. Lp and Sobolev Spaces -- 19. The Lp-Spaces -- 20...”

3 Table of Contents: “...; inequality and measured Sobolev inequality; 19. Parabolic Harnack inequality and regularity theory; 20...”

4 Table of Contents: “.... The Transformation Formula -- 19. The Lp-Spaces -- 20. Integration by Parts. Weak Derivatives. Sobolev Spaces -- 21...”

5 Table of Contents: “...3.5 Different Topologies on L(X) -- Appendix 4. The Fourier Transform, SobolevSpaces, and Convolutions...”

6 Table of Contents: “... The Sobolev integral representation -- 2.19 The space WP1(?, E) -- 2.20 Properties of the space WP1,0...”

7 Table of Contents: “.... Other Topics in Measure and Integration -- 7. Distributions -- 8. The Lebesque and Sobolev Spaces.- 9...”

8 Table of Contents: “... Tools -- 11. Sobolev Spaces on Manifolds with Boundary -- 12. Calderón Projector for Dirac Operators...”

9 Table of Contents: “.... Diffusion Processes -- 2 Stochastic Integration in a Hilbert Space -- 2.0. Introduction -- 2.1. Martingales...”

10 Table of Contents: “.... Hypoellipticity and Parametrix. Sobolev Spaces. The Fredholm Property -- § 26. Essential Self-Adjointness...”

11 Table of Contents: “... geometry (P. Gilkey) -- 6. Lagrangian formalism on Grassmann manifolds (D.R. Grigore) -- 7. Sobolev spaces...”

12 Table of Contents: “...Deterministic Partial Differential Equations; 1.3.2 Chapter 3: Stochastic Calculus in Hilbert Space...”

13 Table of Contents: “... Stability of Implicit Schemes; 2.0 Introduction; 2.1 Regularization in the Stefan Problem; 2.2 Semidiscrete...”

14 Table of Contents: “... inequality -- 19 Extremal problems in generalized Sobolev classes -- 20 On angularly perturbed Laplace...”

15 Table of Contents: “...?(RN) in the Generalized Sobolev Spaces -- 21. Singularities of Reflected and Refracted the Riemann...”

16 Table of Contents: “... -- 6 The Problem of Poincaré and the Cousin Problems -- 7 Ringed Spaces and General Complex Spaces -- 8...”

17 Table of Contents: “... Differential Equations and Problems in Geometry -- 16. Approximation in Sobolev Spaces Between Two Manifolds...”

18 Table of Contents: “... Manifolds -- 1.19 Exchange Lemma -- 1.20 Exchange Lemma and Observability -- 1.21 Normal Forms -- 1.22...”

19 Table of Contents: “... Operations in Fractional Sobolev Spaces on Bounded Lipschitz Domains with Periodic Structure -- 19 Design...”

20 Table of Contents: “...-Difference Operators -- 20 Smoothness of Solutions of Equations with Degeneration -- Notes -- V Nonlocal...”