2.3 The Stokes Problem with Navier Boundary Condition
References
Survey on the Decay of the Local Energy for the Solutions of the Nonlinear Wave Equation
1 Introduction and Preliminaries
2 Scattering for the Subcritical and Critical Wave Equation
2.1 The Subcritical Case
2.1.1 Prisized Morawetz Estimate
2.1.2 Global Time Strichartz Norms
2.1.3 The Proof of Theorem 2.1
2.2 The Critical Case
2.2.1 Global Time Strichartz Norms
2.2.2 The Proof of Theorem 2.1 in the Case p=5

3 Exponential Decay for the Local Energy of the Subcritical and Critical Wave Equation with Localized Semilinearity
3.1 Nonlinear Lax-Phillips Theory
3.2 Exponential Decay for the Local Energy of the Subcritical Wave Equation
3.2.1 The Compactness of Z(T)
3.2.2 Proof of Theorem 3.1
3.3 Exponential Decay for the Local Energy of the Critical Wave Equation
4 Polynomial Decay for the Local Energy of the Semilinear Wave Equation with Small Data
4.1 Fundamental Lemmas
4.2 Proof of Theorem 4.1: Existence and Decay of the Local Energy

5 Decay of the Local Energy for the Solutions of the Critical Klein-Gordon Equation
5.1 Strichartz Norms Global in Time
5.2 Exponential Decay of the Local Energy of Localized Linear Klein-Gordon Equation
5.2.1 Semi-Group of Lax-Phillips Adapted to Localized Linear Klein-Gordon Equation
5.2.2 Proof of Theorem 5.9
5.3 Proof of Theorem 5.1
Appendix
References
A Spectral Numerical Method to Approximate the Boundary Controllability of the Wave Equation with Variable Coefficients
1 Introduction
2 Numerical Approximation of the Control Problem

3 Minimal L2-Weighted Controls
4 Numerical Experiments
5 Appendix
References
Aggregation Equation and Collapse to Singular Measure
1 Introduction
2 Graph Reformulation and Main Results
3 Dini and Hölder Spaces
4 Modified Curved Cauchy Operators
5 Local Well-Posedness
6 Global Well-Posedness
6.1 Weak and Strong Damping Behavior of the Source Term
6.2 Global a Priori Estimates
References
Geometric Control of Eigenfunctions of Schrödinger Operators
1 Introduction
2 The Geometric Control Condition