Local and global analysis of nonlinear dispersive and wave equations
نویسنده
چکیده
Contents Preface ix Chapter 1. Ordinary differential equations 1 1.1. General theory 1 1.2. Gronwall's inequality 7 1.3. Bootstrap and continuity arguments 14 1.4. Noether's theorem 18 1.5. Monotonicity formulae 25 1.6. Linear and semilinear equations 28 1.7. Completely integrable systems 35 Chapter 2. Constant coefficient linear dispersive equations 41 2.1. The Fourier transform 47 2.2. Fundamental solution 52 2.3. Dispersion and Strichartz estimates 56 2.4. Conservation laws for the Schrödinger equation 61 2.5. The wave equation stress-energy tensor 67 2.6. X s,b spaces 75 Chapter 3. Semilinear dispersive equations 85 3.
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