1 Table of Contents: “... of the homotopy index -- II Applications to partial differential equations -- 2.1 Sectorial operators generated...”

2 Table of Contents: “... -- 15 Application: The Kuramoto—Sivashinsky Equation -- 16 Application: A Nonlocal Burgers Equation...”

3 Table of Contents: “... the Equation Pu = f -- 5 Duality Theory for Cohomologies of Differential Complexes -- 5.1 The Poincaré...”

4 Table of Contents: “...I Rarefied Gases -- 1. Macroscopic limits of the Boltzmann equation: a review -- 2. Moment...”

5 Table of Contents: “.... PartialDifferential Equations -- §1. An Integrability Criterion -- §2. Quasi-Linear Equations -- §3. Existence...”

6 Table of Contents: “... -- 2.1 Definition of Energy Minimizing Maps -- 2.2 The Variational Equations -- 2.3 The ?-Regularity...”

7 Table of Contents: “... Functionals -- Ricci Curvature as a Partial Differential Equation -- Einstein Manifolds and Topology...”

8 Table of Contents: “... Strongly Elliptic Partial Differential Equation -- §6. Regularity of Weak Solutions of Elliptic Linear...”

9 Table of Contents: “... of Semi-linear Wave Equations with Neumann Boundary Conditions -- 6. Local Exponential Stability of Damped...”

10 Table of Contents: “...§1 Fake ?4 -- Differentiable structures -- Topological 4-manifolds -- Differentiable 4-manifolds...”

11 Table of Contents: “... Equations for Topology Optimization -- II: Topology Optimization -- 4. Structural Topology Optimization...”

12 “... on the solutions of elliptic systems of partial differential equations in terms of the Fredholm index...”

13 Table of Contents: “... for Ample Relations -- §3 Examples -- §4 Relative h-Principles -- 9 Systems of Partial Differential...”

14 Table of Contents: “... variation and absolute continuity in the Banach sense -- V. Differentiable transformations in Rn -- § V.1...”