1 Table of Contents: “...Part 1. Distributions and Analyticity in Euclidean Space -- Chapter 1. Functions and Differential...”

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

3 Table of Contents: “... -- Properties of ramied Fourier transform -- The Cauchy problem for equations with constant coefficients...”

4 Subjects: “...Partial Differential Equations...”

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

6 Table of Contents: “... Cauchy-Kovalvsky Theorem for Nonlinear and Nonlocal Equations -- 6 Pierre Berard and Bernard Helffer...”

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

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

9 Table of Contents: “... operators -- 1.3. Sectorial operators -- Ch. 2. The abstract Cauchy problem -- 2.1. Evolutionary equation...”

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

11 Table of Contents: “...Multivariable Calculus -- Parameterizations -- to Forms -- Forms -- Differential Forms...”

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

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

14 Subjects: “...Geometry, Differential...”

15 “... background in differential equations. Parts II and III require more specialised methods of partial...”

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

17 Table of Contents: “.... Bleecker) -- 4. Partial differential equations on closed and open manifolds (J. Eichhorn) -- 5. Spectral...”

18 Table of Contents: “... on certain manifolds -- W.H. Fleming: Nonlinear partial differential equations - Probabilistic and game...”

19 Table of Contents: “... theory) / Kodaira, Kunihiko ( 18 ) The eigenvalue problem for ordinary differential equations...”

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